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Mathematics 19 Online
OpenStudy (anonymous):

Karin is playing a game at an after school carnival. There are a number of table tennis balls in a bag, and 1/3 of them are marked as prize-winners. A player randomly selects a ball from the bag, checks to see if they won a prize, and then replaces the ball. If karin plays the game 12 times, what is the probability that she will win a prize exactly 4 times? A.) 0.0004 B.) 0.012 C.) 0.238 D.)0.25

OpenStudy (anonymous):

anything?

OpenStudy (anonymous):

the probability of winning a prize in one try is 1/3. Since the sample space remains the same for all tries, as the ball is replaced, we caN use binomial distribution in this. The prob. of winning 4 out of 12 is: 12C4 (1/3)^4 (2/3)^8

OpenStudy (anonymous):

is 12C4 suppose to be 12/4?

OpenStudy (anonymous):

its 12!/(4!)(8!)

OpenStudy (anonymous):

so i got 11880/ 24

OpenStudy (anonymous):

which is 495

OpenStudy (anonymous):

so multiply it by the others...

OpenStudy (anonymous):

(1/3)^4 (2/3)^8? so i got 1/81 and 256/6561 now wat...

OpenStudy (anonymous):

multiply the three

OpenStudy (anonymous):

what 3?

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