Question

A salesman sales two products, fruits and vegetables. He estimates that when he makes a call 35% of 15 he will sell fruits and 50% of the time he will sell vegetables. He knows that sales of the two products independent. What is the probability that he will sell both fruits and vegetables on the same call? What is the probability that he will sell fruits or vegetables but not both?

Answer 1

To find the probability of selling both fruits and vegetables, multiply the probabilities. To find the probability of selling either fruits or vegetables but not both, add the probabilities and subtract the probability of selling both.

Step-by-step explanation:

To find the probability that the salesman will sell both fruits and vegetables on the same call, we need to multiply the probability of selling fruits (35%) by the probability of selling vegetables (50%).

Probability of selling fruits = 0.35

Probability of selling vegetables = 0.50

To find the probability that the salesman will sell either fruits or vegetables but not both, we need to add the probabilities of selling fruits and vegetables separately, and then subtract the probability of selling both.

Probability of selling fruits = 0.35

Probability of selling vegetables = 0.50

Probability of selling both = 0.35 * 0.50

Probability of selling either fruits or vegetables but not both = (Probability of selling fruits + Probability of selling vegetables) - Probability of selling both