In tennis, Gabby serves an ace, a ball that can't be returned, 4 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. Justify your reasoning.

Question

In tennis, Gabby serves an ace, a ball that can't be returned, 4 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. Justify your reasoning.

THANKS!!

Answer 1

The experimental probability of an event occurring is calculated by dividing the number of successful outcomes by the total number of outcomes. In this case, Gabby serves an ace 4 out of 10 times. Therefore, the probability of Gabby serving an ace in the first match of the next game is 4/10 = 0.4 or 40%.

To predict how many aces Gabby will have for the next 40 serves, we can use the experimental probability from the previous information. If Gabby serves an ace 40% of the time, we can expect her to serve an ace in approximately 40% of the next 40 serves. This means we can predict Gabby will have around 16 aces (40% of 40) in the next 40 serves.

Answer 2

To find the experimental probability that Gabby will serve an ace in the first match of the next game, we need to determine the number of successful outcomes (serving an ace) and the total number of possible outcomes (serving the ball).

We are given that Gabby serves an ace 4 out of the 10 times she serves. Therefore, the probability of serving an ace can be calculated by dividing the number of successful outcomes (4) by the total number of outcomes (10).

Experimental probability = Number of successful outcomes / Total number of outcomes
Experimental probability = 4 / 10
Experimental probability = 0.4

Hence, the experimental probability that Gabby will serve an ace in the first match of the next game is 0.4, or 40%.

To predict the number of aces Gabby will have for the next 40 serves, we can use the experimental probability we just calculated.

Number of aces for next 40 serves = Experimental probability * Total number of serves
Number of aces for next 40 serves = 0.4 * 40
Number of aces for next 40 serves = 16

Therefore, based on the experimental probability, we can predict that Gabby will have approximately 16 aces for the next 40 serves.

Answer 3

4/10

4/10 * 40

I'll let you reason it out.