Two Basic Rules of Probability · Exercise 27

The following table of data obtained from www.baseball-almanac.com shows hit information for four players. Suppose that one hit from the table is randomly selected.

$$\begin{array}{cccccc}\text{Name}& \text{Single}& \text{Double}& \text{Triple}& \text{Home Run}& \text{Total Hits}\\ \text{Babe Ruth}& \text{1,517}& \text{506}& \text{136}& \text{714}& \text{2,873}\\ \text{Jackie Robinson}& \text{1,054}& \text{273}& \text{54}& \text{137}& \text{1,518}\\ \text{Ty Cobb}& \text{3,603}& \text{174}& \text{295}& \text{114}& \text{4,189}\\ \text{Hank Aaron}& \text{2,294}& \text{624}& \text{98}& \text{755}& \text{3,771}\\ \text{Total}& \text{8,471}& \text{1,577}& \text{583}& \text{1,720}& \text{12,351}\end{array}$$
Are the hit being made by Hank Aaron and the hit being a double independent events?

(a) Yes, because P(hit by Hank Aaron|hit is a double) = P(hit by Hank Aaron)
(b) No, because P(hit by Hank Aaron|hit is a double) ≠ P(hit is a double)
(c) No, because P(hit is by Hank Aaron|hit is a double) ≠ P(hit by Hank Aaron)
(d) Yes, because P(hit is by Hank Aaron|hit is a double) = P(hit is a double)

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §3.3 Two Basic Rules of Probability · Exercise 27