Question

In an instant lottery, your chances of winning are 0.2. If you play the lottery eight times and outcomes are independent, find the probability that you win at most once.

Answer 1

Solution: Let X be the random variable denoting the number of successes in the instant lottery. Here lottery is played eight times where the outcomes are independent and the probability of winning is 0.2.

Thus, X ~ Binomial(8,0.2) with a probability mass function , x = 0(1)8

To find the probability of winning at most once:

It is calculated as = P(X=0) + P(X=1) =

= 0.5033165 (Ans)