Terminology · Try It 3

The table describes the distribution of a random sample S of 100 individuals, organized by gender and whether they like tea or coffee.

$$\begin{array}{ccc}& \text{Tea}& \text{Coffee}\\ \text{Men}& \text{22}& \text{26}\\ \text{Women}& \text{16}& \text{36}\end{array}$$
Let's denote the events M = the subject is a man, W = the subject is a woman, T = the subject likes tea, and C = the subject likes coffee. Compute the following probabilities:

(a) P(M)
(b) P(W)
(c) P(T)
(d) P(C)
(e) P(M AND T)
(f) P(W and C)
(g) P(M OR W)
(h) P(M OR T)
(i) P(W OR C)
(j) P(M')
(k) P(T|M)
(l) P(W|C)
(m) P(C|W)

OpenStax, Introductory Statistics 2e · §3.1 Terminology · Try It 3