SOLUTION: Pam and Tony play a game 18 times. Tony wins 8 times and Pam wins 10 times. A.) Find the experimental probability that Pam wins. B.) Find the expeimental probability that T

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Question 142502: Pam and Tony play a game 18 times. Tony wins 8 times and Pam wins 10 times.

A.) Find the experimental probability that Pam wins.
B.) Find the expeimental probability that Tony wins.
C.) If Pama and Tony play the game 18 more times, must the experimental pobabilites remain the same? Explain please

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Answer by solver91311(24713) (Show Source):
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A:

B:

C: No. It is highly unlikely that the experimental probabilities will remain the same. If this is a purely random game, and the nature of the game is such that the expected probability of success is equal for each of the participants, the experimental probabilities will tend to approach for each of the participants as the total number of games increases (or perhaps some other proportion if the odds of the game are skewed toward one of the players or the other). On the other hand, if there are elements of skill in the game, the likelihood is that one player or the other will develop their skill at a more rapid pace than the other. Hence, the experimental probabilities will become skewed more in favor of the faster learner.