It is estimated that 6 out of 10 customers at Pizza Time piz

It is estimated that 6 out of 10 customers at Pizza Time pizza shop purchase pepperoni pizza. A survey of 10 of their customers is taken and two are randomly selected with no replacement between selections. What is the probability that the second customer buys pepperoni after the first did not?

Solution

PROBABILITY of customer buying pizza is 6 divided by 10 that is 0.6

Total customers is 10

Probability of first does not buy pizza is 1-0.6 = 0.4

As it is without replacement

Probability of second purchasing it is 6/9 is 0.6666

Therefore probability of first buying it and second not buying it is 0.4*0.6666=0.2664