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. Name Single Double Triple Home Run Total Hits
Babe Ruth 1,517 506 136 714 2,873
Jackie Robinson 1,054 273 54 137 1,518
Ty Cobb 3,603 174 295 114 4,189
Hank Aaron 2,294 624 98 755 3,771
Total 8,471 1,577 583 1,720 12,351
Are "the hit being made by Ty Cobb" and "the hit being a double" independent events?
Yes, because P(hit made by Ty Cobb|hit is a double) = P(hit made by Ty Cobb).
No, because P(hit made by Ty Cobb|hit is a double) ≠ P(hit is a double).
Yes, because P(hit made by Ty Cobb|hit is a double) = P(hit is a double).
No, because P(hit made by Ty Cobb|hit is a double) ≠ P(hit made by Ty Cobb).