In tennis, Gabby serves an ace, a ball that can't be returned, 7 out of the 10 times she serves.
What is the experimental probability that Gabby will serve an ace in the first match of the next game?
Make a prediction about how many aces Gabby will have for the next 40 serves.
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To find the experimental probability that Gabby will serve an ace in the first match of the next game, we can use the information given in the question. It is mentioned that Gabby serves an ace 7 out of the 10 times she serves.
Experimental probability is calculated by dividing the number of successful outcomes (number of times Gabby serves an ace) by the total number of outcomes (number of times Gabby serves). In this case, the number of successful outcomes (number of times Gabby serves an ace) is 7, and the total number of outcomes (number of times Gabby serves) is 10.
So, the experimental probability that Gabby will serve an ace in the first match of the next game is 7/10 or 0.7.
To make a prediction about how many aces Gabby will have for the next 40 serves, we can use the experimental probability we calculated earlier. Since the probability of Gabby serving an ace is 0.7, we can multiply this probability by the number of serves:
Number of aces = Probability of serving an ace * Total number of serves
Number of aces = 0.7 * 40
Number of aces = 28
Therefore, based on the experimental probability, we predict that Gabby will have approximately 28 aces for the next 40 serves.
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.7
40 * .7 = ?