Answer to Question #304680 in Statistics and Probability for samson

Question

John is offering chocolates at a Plaza. The experimental probability of a randomly chosen shopper accepting a sample is 10%. The conditional probability of a customer purchasing some chocolates given that he/she tried the sample is 18%. No one buys the chocolate without trying the sample. IF John offers 600 people chocolate samples, how many sales will he make?

Answer 1

we define the following

probability of accepting the sample = 10% =0.1

if tried, the probability of buying the sample=18% =0.18

Now, 10% will try the sample out of 600 samples which equals to 60 people.

Now, out of the 60 people defined above,18% will buy = (0.18*60)=10.8 sales

Thus, we conclude that he will make 10.8 sales