Higher Algebra>Chapter 32 - Probability>EXAMPLES. XXXII. d.>Q 4

MEDIUM

JEE Main

IMPORTANT

Earn 100

Before a race, the chances of three runners $A, B, C$ were estimated to be proportional to $5, 3, 2$ . But during the race $A$ meets with an accident which reduces its chance to one third. What are now the respective chances of $B$ and $C$ ?

Important Questions on Probability

HARD

JEE Main

IMPORTANT

Higher Algebra>Chapter 32 - Probability>EXAMPLES. XXXII. d.>Q 5

A purse contains

n

coins of unknown value, a coin drawn at random is found to be a rupee, what is the chance that it is the only rupee in the purse.

HARD

JEE Main

IMPORTANT

Higher Algebra>Chapter 32 - Probability>EXAMPLES. XXXII. d.>Q 6

A man has

10

coins and one of them is known to have two heads. He takes one at random and tosses it

5

times and it always falls head, what is the chance that it is the coin with two heads?

HARD

JEE Main

IMPORTANT

Higher Algebra>Chapter 32 - Probability>EXAMPLES. XXXII. d.>Q 7

A bag contains

5

balls of unknown colour; a ball is drawn and replaced twice and in each case is found to be red. If two balls are now drawn simultaneously, find the chance that both are red.

HARD

JEE Main

IMPORTANT

Higher Algebra>Chapter 32 - Probability>EXAMPLES. XXXII. d.>Q 8

A purse contains five coins, each of which may be a rupee or a

50

paise coins, two are drawn and found to be rupees, Find the probable value of the remaining coins.

MEDIUM

JEE Main

IMPORTANT

Higher Algebra>Chapter 32 - Probability>EXAMPLES. XXXII. d.>Q 9

A die is thrown three times and the sum of the three numbers drawn is

15,

Find the chance that the first number thrown was a four.

MEDIUM

JEE Main

IMPORTANT

Higher Algebra>Chapter 32 - Probability>EXAMPLES. XXXII. d.>Q 10

A

speaks the truth

3

out of

4

times and

B, 5

out of

6

times. What is the probability that they will contradict each other in stating the same fact?

MEDIUM

JEE Main

IMPORTANT

Higher Algebra>Chapter 32 - Probability>EXAMPLES. XXXII. d.>Q 11

A

speaks the truth

2

out of three times, and

B

speaks the truth

4

out of

5

times, they agree in the assertion that from a bag containing

6

balls of different colours a red ball has been drawn, find the probability that the statement is true.

MEDIUM

JEE Main

IMPORTANT

Higher Algebra>Chapter 32 - Probability>EXAMPLES. XXXII. d.>Q 12

From a pack of

52

cards, one card has been lost, from the remaining pack of the cards, two cards are drawn and are found to be spades. Find the chance that the missing card is a spade.