A die is thrown 1 0 0 times and outcomes are noted as given below: Outcome: 1 2 3 4 5 6 Frequency: 21 9 14 23 18 15 If a die is thrown at random, find the probability of getting an Odd number.

Given: A die is thrown 1 0 0 times and outcomes are noted as given below: Outcome: 1 2 3 4 5 6 Frequency: 21 9 14 23 18 15 We have, Frequency of getting an odd number = Frequency of getting a 1 + Frequency of getting a 3 + Frequency of getting a 5 = 21 + 14 + 18 = 53 ∴ Probability of getting an odd number = Frequency of getting an odd number Total number of times the die is thrown = 53 100 = 0 . 53 Hence, the probability of getting an Odd number is 0 . 53 .

A die is thrown 1 0 0 times and outcomes are noted as given below: Outcome: 1 2 3 4 5 6 Frequency: 21 9 14 23 18 15 If a die is thrown at random, find the probability of getting a number less than 3 .

Given: A die is thrown 1 0 0 times and outcomes are noted as given below: Outcome: 1 2 3 4 5 6 Frequency: 21 9 14 23 18 15 We have, Frequency of getting a number less than 3 = Frequency of getting a 1 + Frequency of getting a 2 = 21 + 9 = 30 ∴ Probability of getting a number less than 3 = Frequency of getting a number less than 3 Total number of times the die is thrown = 30 100 = 3 10 = 0 . 3 Hence, the probability of getting a number less than 3 is 0 . 3 .

A die is thrown 1 0 0 times and outcomes are noted as given below: Outcome: 1 2 3 4 5 6 Frequency: 21 9 14 23 18 15 If a die is thrown at random, find the probability of getting a 5 .

Given: Total number of times the die is thrown = 100 , and Frequency of getting a 5 = 18 ∴ Probability of getting a 5 = Frequency of getting a 5 Total number of times the die is thrown = 18 100 = 9 50 Hence, the required probability is 0 . 18 .

A die is thrown 1 0 0 times and outcomes are noted as given below: Outcome: 1 2 3 4 5 6 Frequency: 21 9 14 23 18 15 If a die is thrown at random, find the probability of getting a 3 .

Given: Total number of times the die is thrown = 100 , and Frequency of getting 3 = 14 ∴ Probability of getting 3 = Frequency of getting 3 Total number of times the die is thrown = 14 100 = 7 50 = 0 . 14 Hence, the probability of getting a 3 is 0 . 14 .

A die is thrown 1 0 0 times and outcomes are noted as given below: Outcome: 1 2 3 4 5 6 Frequency: 21 9 14 23 18 15 If a die is thrown at random, find the probability of getting an Even number.

Given: A die is thrown 1 0 0 times and outcomes are noted as given below: Outcome: 1 2 3 4 5 6 Frequency: 21 9 14 23 18 15 We have, Frequency of getting an even number = Frequency of getting a 2 + Frequency of getting a 4 + Frequency of getting a 6 = 9 + 23 + 15 = 47 ∴ Probability of getting an even number = Frequency of getting an even number Total number of times the die is thrown = 47 100 = 0 . 47 Hence, the probability of getting an Even number is 0 . 47 .

The probability of an event whose likelihood of occurrence and nonoccurrence is same is

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

In a school, the total number of students in

10 A

division is equal to the total number of students in

10 B

. One student is to be selected from each division. Number of boys in

10 A

is

20

. The probability of selecting a boy from

10 A

is

\frac{2}{5}

and that of from

10 B

is

\frac{3}{5}

. What is the probability of selecting a girl from

10 A

?

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

In a school, the total number of students in

10 A

division is equal to the total number of students in

10 B

. One student is to be selected from each division. Number of boys in

10 A

is

20

. The probability of selecting a boy from

10 A

is

\frac{2}{5}

and that of from

10 B

is

\frac{3}{5}

. How many boys are there in

10 B

?

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

In a school, the total number of students in

10 A

division is equal to the total number of students in

10 B

. One student is to be selected from each division. Number of boys in

10 A

is

20

. The probability of selecting a boy from

10 A

is

\frac{2}{5}

and that of from

10 B

is

\frac{3}{5}

. What is the probability of both the selected students being boys?

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

There are

10

cards numbered from

1

to

10

. A card is drawn randomly. The probability of getting an even numbered card is

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

There are

100

cards numbered from

1

to

100

in a box. If a card is drawn from the box and the probability of an event is

\frac{1}{2}

, then the number of favourable cases to the event is

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Two coins are tossed simultaneously $500$ times and the outcomes are noted as given below:

Outcome:

Two heads

(HH)

One head

(HT or TH)

No head

(TT)

Frequency:

105

275

120

If the same pair of coins are tossed at random, find the probability of getting no head.

MEDIUM

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

A die is thrown $100$ times and outcomes are noted as given below:

Outcome:	$1$	$2$	$3$	$4$	$5$	$6$
Frequency:	$21$	$9$	$14$	$23$	$18$	$15$

If a die is thrown at random, find the probability of getting an Odd number.

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

An unbiased coin is tossed once, the probability of getting head is

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Two coins are tossed simultaneously $500$ times and the outcomes are noted as given below:

Outcome:

Two heads

(HH)

One head

(HT or TH)

No head

(TT)

Frequency:

105

275

120

If the same pair of coins are tossed at random, find the probability of getting one head.

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

A coin is tossed

1000

times with the following frequencies:
Head:

445

, Tail:

555

When a coin is tossed at random, what is the probability of getting a head?

MEDIUM

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Tell whether the following is certain to happen, impossible, can happen but not certain.

You are older today than yesterday.

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

A dice is tossed

80

times and number

5

is obtained

14

times. The probability of not getting the number

5

is

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Two coins are tossed simultaneously $500$ times and the outcomes are noted as given below:

Outcome:

Two heads

(HH)

One head

(HT or TH)

No head

(TT)

Frequency:

105

275

120

If the same pair of coins are tossed at random, find the probability of getting two heads.

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

A dice is rolled. The probability of getting an even prime is

MEDIUM

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

A die is thrown $100$ times and outcomes are noted as given below:

Outcome:	$1$	$2$	$3$	$4$	$5$	$6$
Frequency:	$21$	$9$	$14$	$23$	$18$	$15$

If a die is thrown at random, find the probability of getting a number less than $3$ .

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

A die is thrown $100$ times and outcomes are noted as given below:

Outcome:	$1$	$2$	$3$	$4$	$5$	$6$
Frequency:	$21$	$9$	$14$	$23$	$18$	$15$

If a die is thrown at random, find the probability of getting a $5$ .

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

A coin is tossed

100

times and head is obtained

59

times. The probability of getting a tail is

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

A bag contains

4

green balls,

4

red balls and

2

blue balls. If a ball is drawn from the bag, the probability of getting neither green nor red ball is

EASY

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

A die is thrown $100$ times and outcomes are noted as given below:

Outcome:	$1$	$2$	$3$	$4$	$5$	$6$
Frequency:	$21$	$9$	$14$	$23$	$18$	$15$

If a die is thrown at random, find the probability of getting a $3$ .

MEDIUM

Mathematics>Statistics and Probability>Statistics and Probability>Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

A die is thrown $100$ times and outcomes are noted as given below:

Outcome:	$1$	$2$	$3$	$4$	$5$	$6$
Frequency:	$21$	$9$	$14$	$23$	$18$	$15$

If a die is thrown at random, find the probability of getting an Even number.

The probability of an event whose likelihood of occurrence and non-occurrence is same is:

Important Questions on Statistics and Probability

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