R D Sharma Solutions for Chapter: Binomial Distribution, Exercise 1: EXERCISE

Six coins are tossed simultaneously. Find the probability of getting no heads.
 

Six coins are tossed simultaneously. Find the probability of getting at least one head.

A person buys a lottery ticket in $50$ lotteries, in each of which his chance of winning a prize is $\frac{1}{100}$. What is the probability that he will win a prize at least once.

How many times must a man toss a fair coin so that the probability of having at least one head is more than $80\%$?

From a lot of $30$ bulbs that includes $6$ defective bulbs, a sample of $4$ bulbs is drawn at random with replacement. Find the probability distribution of the number of defective bulbs.

Find the probability that in $10$ throws of a fair die, a score which is a multiple of $3$ will be obtained in at least $8$ of the throws.

The probability of a man hitting a target is $0.25$. He shoots $7$ times. What is the probability of his hitting at least twice?

A factory produces bulbs. The probability that one bulb is defective is $\frac{1}{50}$ and they are packed in boxes of $10$. From a single box, find the probability that exactly two bulbs are defective