baseball probablity

Question

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.

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
TOTALS	8,468	1,577	583	1,720	12,351

Find P(hit was made by Babe Ruth|The hit was a Triple).

Question 6 options:

	0.066
	0.233
	.767
	0.009

Answer 1

I like to view Probability as what you "WANT" divided be the "TOTAL" options. So for this, we have a given probability; this means that we know the second condition of "The hit was a Triple" occured. So we can focus in on the Triples column and ignore the rest of the data. This means that the number that you "want" is how many times Babe Ruth hit a Triple: 136. Then the total is the total number of Triples: 583. This makes the probability to be 136/583 = 23.33%. (0.233 in your answer choices).

Answer 2

"P(hit was made by Babe Ruth|The hit was a Triple)" means to find the probability that the hit was made by Babe Ruth GIVEN THAT it was a triple.

This means you only consider the column of "Triples"

There were a total of 583 triples and of those 136 were made by Babe Ruth therefore the probability is 136/583.

I'll let you do the division.