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?
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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