Answer to Question #168253 in Statistics and Probability for Kim Lee

Question

The probability that a child went to his tutor will have a lecture is 0.6; the probability that a child who had a lecture will also have a assignment is 0.3; and the probability that a child who has had a lecture and an assignment will also have a quiz is 0.1. What is the probability that a child visiting his tutor will have a lecture, an assignment, and a quiz?

Answer 1

By the probability multiplication theorem, the required probability is

$p = 0.6 \cdot 0.3 \cdot 0.1 = {\rm{0}}{\rm{.018}}$

Answer: 0.018