Binomial Distribution
Binomial Distribution: Overview
This topic covers concepts such as Bernoulli Trials, Binomial Probability Distribution, Mean in Binomial Probability Distribution, Variance in Binomial Probability Distribution, and Standard Deviation in Binomial Probability Distribution.
Important Questions on Binomial Distribution
One hundred identical coins, each with probability of showing up heads are tossed once. If and the probability of heads showing on coins is equal to the probability of heads showing on coins, then value of is:

Fifteen coupons are numbered respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is is:

The probability that an event happens in one trial of an experiment is . Three independent trials of the experiment are performed. The probability that the event happens at least once is

Find the expectation of number of heads in tosses of a fair coin.

The probability that a student entering a university will graduate is . Find the probability that out of students of the university all will graduate.

The probability that a student entering a university will graduate is . Find the probability that out of students of the university only one will graduate.

A coin is tossed times. If is the number of times heads appeared, then if maximum when

The minimum number of times a fair coin needs to be tossed so that the probability of getting at least two heads is at least , is

In five throws with a pair of dice, what is the probability of throwing doublets at least thrice?

An unbiased coin is tossed times. Find, using binomial distribution, the probability of getting at least 5 heads.

Suppose follows a binomial distribution with parameters and . If , then is equal to

The probability of hitting a target in any shot is . If shots are fired, find the probability that the target will be hit at least twice.


It is possible for a computer to pick up an erroneous signal that does not show up as an error on the screen. The error is called a silent error. A particular terminal is defective and when while using the system "word processor" it introduces a silent paging error with probability . The word processor is used times during a given week.Then the probability that no silent paging errors occus is

A radar complex consists of eight units that operate independently. The probability that a unit detects an incoming missile is .If the probability that an incoming missile will not be detected by any unit is , then find .


A fair coin is tossed times. Find the probability that it shows heads exactly times.


The minimum number of times a fair coin needs to be tossed so that the probability of getting at least two heads is at least , is

A fair coin is tossed times. The probability that it shows head exactly times is
