Venn Diagrams · Exercise 29

The table of data obtained from www.baseball-almanac.com shows hit information for four well known baseball players. Suppose that one hit from the table is randomly selected.
$$\begin{array}{cccccc}\text{Name}& \text{Single}& \text{Double}& \text{Triple}& \text{Home run}& \text{TOTAL HITS}\\ \text{Babe Ruth}& \text{1,517}& \text{506}& \text{136}& \text{714}& \text{2,873}\\ \text{Jackie Robinson}& \text{1,054}& \text{273}& \text{54}& \text{137}& \text{1,518}\\ \text{Ty Cobb}& \text{3,053}& \text{724}& \text{295}& \text{117}& \text{4,189}\\ \text{Hank Aaron}& \text{2,294}& \text{624}& \text{98}& \text{755}& \text{3,771}\\ \text{TOTAL}& \text{7,918}& \text{2,127}& \text{583}& \text{1,723}& \text{12,351}\end{array}$$

Find P(hit was made by Ty Cobb | The hit was a Home Run).

(a) $\frac{4189}{12351}$
(b) $\frac{117}{1723}$
(c) $\frac{1723}{4189}$
(d) $\frac{117}{12351}$

OpenStax, Introductory Business Statistics 2e · §3.5 Venn Diagrams · Exercise 29