Probability and its Applications

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

Direction: A bag contains $4$ red, $5$ brown and $6$ white balls. Three balls are drawn randomly:

What is the probability that balls drawn contains exactly two red balls?

Ricky and George each throw two dice. If Ricky gets a sum of four, what is the probability that George will get less than four?

One box contains four cards numbered $1, 3, 5$ and $6$. Another box contains three cards numbered $2, 4$ and $7$. One card is drawn from each box. Find the probability that the sum is even.

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 ?

When $P\left(A\right) = 0.02$, find the probability of $‘not A’$.

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_____?

If there are five white balls, three black balls and four red balls, find the probability that one ball is white and the other is red.

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 face of a coin is either head or tail. If three coins are tossed, what is the probability of getting three tails or three heads?

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 ?

The UN forces for Bosnia uses a type of missile that hits the target with a probability of $0.3$. How many missiles should be fired so that there is at least $80\%$ probability of hitting the target?

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

Direction: A bag contains $4$ red, $5$ brown and $6$ white balls. Three balls are drawn randomly:

What is the probability that the balls drawn are not of the same colour?

Two fair dice are thrown. What is the probability that the sum of the dice is divisible by 5?

Two people are chosen randomly from four married couples. What is the probability that they are husband and wife?