Venn Diagrams · Exercise 30

identifies a group of children by one of four hair colors, and by type of hair.
$$\begin{array}{cccccc}\text{Hair type}& \text{Brown}& \text{Blond}& \text{Black}& \text{Red}& \text{Totals}\\ \text{Wavy}& \text{20}& & \text{15}& \text{3}& \text{43}\\ \text{Straight}& \text{80}& \text{15}& & \text{12}& \\ \text{Totals}& & \text{20}& & & \text{215}\end{array}$$

(a) Complete the table.
(b) What is the probability that a randomly selected child will have wavy hair?
(c) What is the probability that a randomly selected child will have either brown or blond hair?
(d) What is the probability that a randomly selected child will have wavy brown hair?
(e) What is the probability that a randomly selected child will have red hair, given that they have straight hair?
(f) If B is the event of a child having brown hair, find the probability of the complement of B.
(g) In words, what does the complement of B represent?

This problem repeats another one in the library (at most with different numbers), so it's left out of browsing.

OpenStax, Introductory Business Statistics 2e · §3.5 Venn Diagrams · Exercise 30