30. Golf Balls The local golf store sells an \"onion bag\" that contains 35 \"ex

Question

30. Golf Balls The local golf store sells an "onion bag" that contains 35 "experienced" golf balls. Suppose that the bag contains 20 Titleists, 8 Maxflis, and 7 Top-Flites. Use a tree diagram like the one in Example 5 to answer the following: (a) What is the probability that two randomly selected golf balls 8 (b) What is the probability that the first ball selected is a Titleist (c) What is the probability that the first ball selected is a Maxfli (d) What is the probability that one golf ball is a Titleist and the are both Titleists? and the second is a Maxfli? and the second is a Titleist? other is a Maxfli? 2

Explanation / Answer

A) P(both balls are Titleist) = 20C2 / 35C2 = 0.32

B) P(firstly is Titleist and second is maxfli) =20C1/35C1 * 8C1/34C1 = 0.134

C)P(first is maxfli and second is Titleist) = 8C1/35C1 * 20C1 /35C1 = 0.131

D) P(one is Titleist and other is maxfli) = (20C1 * 8C1)/35C2 = 0.2689

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