19 5 points A bucket of tennis balls contains 7 white balls

19. (5 points) A bucket of tennis balls contains 7 white balls, 3 yellow balls, and 2 orange balls. Joe takes one ball at random from the bucket and serves it. Tben be takes another ball at random from the bucket and serves it. What is the probability that either the first ball is yellow and the second ball is white or both balls are orange? (A) 23/132 (B) 84/144 (C) 22/66 (D) 21/66 (E) 26/132 (F) 25/144 (G) 42/132 (E) none of the others 20. (5 points) A sale table has 6 different white shirts, 4 different yellow shirts, and 3 different blue shirts. Anne buys 4 of these shirts for her busband, how many different possible outcomes have at least 1 blue shirt and at least 1 white shirt? (A) 990 B) 11,304 (C) 11,256 (D) 700 (E) 471 (F) 16, 800 (G) 126 (B) 111 (J) 469 (K) 1,980 (L) none of the others

Solution

There are 12 balls.

Thus,

P(yellow then white) = (3/12)(7/11) = 7/44

P(orange then orange) = (2/12)(1/11) = 1/66

Thus,

P(yellow then white or both orange) = 7/44 + 1/66 = 23/132 [ANSWER, OPTION A]

*******************

Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!