Basics of Probability

In a throw of two dice, the probability of obtaining a total of $10$ or $12$ is?

Which among the following are rational numbers?

In a card-board box, there are different $12$ pairs of three different types of hand gloves used by each Cricket batsman. They are separated as single units from all pairs of gloves and are all mixed in the box. From outside, one cannot see the gloves but can put the hands through the cardboard box's pigeon hole and take one glove out at a time. What will be the minimum number of times one should take out the gloves one by one to get one perfect pair of gloves for sure ?

A fair coin is tossed three times. What is the probability of getting either $3$ heads or $3$ tails?

Study the following information to answer the questions given below. In a box there are $4$ blue, $4$ red, $4$ white and $4$ black balls. Four balls are picked up randomly, what is the probability of the following event to occur not even one out of the four is white_____?

There are $50$ tickets in a lottery in which there is a first and second prize. What is the probability of a man drawing a prize if he owns $5$ tickets?

Numbers $1$ to $10$are written on ten separates slips (one number on one slip ), kept in a box, and mixed well. One slip is chosen from the box without looking into it. Answer the following questions.

What is the probability of getting a number greater than $6$?

A bag contains $6$ black and $8$ white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

The probability that both stages of a two-stage rocket to function correctly is $0.92$. The reliability of the first stage is $0.97$. What is the reliability of the second stage?

Determine the probability of drawing either a king or a diamond in a single draw from a pack of $52$ playing cards ?

Three unbiased coins are tossed. What is the probability of getting at least $2$ heads?

Numbers $1$ to $10$are written on ten separates slips (one number on one slip ), kept in a box and mixed well. One slip is chosen from the box without looking into it. Answer the following questions.

What is the probability of getting an even number?

Study the information carefully to answer the following questions.
An urn contains $5$ red, $3$ green, $2$ blue and $4$ yellow marbles.
If three marbles are picked at random, what is the probability that at least one is yellow?

A coin is tossed $3$ times. What is the probability of getting $3$ tails up?

A bag contains three white and five black balls. If two balls are drawn in succession without replacement, what is the probability that both balls are black?

Study the given information and answer the following question --
An urn contains $4$ Green, $3$ Red and $5$ Blue balls.
What is the probability that at least one is Blue, if $4$ balls are picked at random ?

Study the following information to answer the questions given below.

In a box there are $4$ Blue, $4$ Red, $4$ White and $4$ Black balls. Four balls are picked up randomly, what is the probability of the following event to occur?

If at least one red ball is picked up randomly.

Roll a pair of dice. What is the probability that the sum of two numbers is $11$?

Numbers $1$to $10$are written on ten separates slips (one number on one slip ), kept in a box, and mixed well. One slip is chosen from the box without looking into it .  Answer the following questions.

What is the probability of getting a $1-$digit number ?

A card is drawn from a deck of 52 playing cards, Find the probability if drawing a king or a red card.