a) What is the probability exactly 1 of the 6 people in your group will win a prize. b) what is the probability that two or less of the individuals that are in your group of 6 people win a prize

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Consider that you and five friends each buy a ticket to an event that has a total of 80 people in attendance, the ticket required to attend the event also enters each person into a drawing in which four people are selected to win identical prizes. a) What is the probability exactly 1 of the 6 people in your group will win a prize. b) what is the probability that two or less of the individuals that are in your group of 6 people win a prize
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Step 1

Let , X be the number of people in your group will win a prize

Let , the probability of win a prize is 0.5

Here , X→B(n=6 , p=0.5)

The probability mass function of X is , 

P(X=x)=nxpxqn-x ; x=0,1,2,.......,n and q=1-p

= 0 ; otherwise

Our aim is to find the following : 

a) What is the probability exactly 1 of the 6 people in your group will win a prize.

b) what is the probability that two or less of the individuals that are in your group of 6 people win a prize

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