Question

If 14 out of 20 batteries do not have charge, what is the experimental probability that the next battery checked also does not have a charge? How many out of the next 70 batteries would be expected not to have a charge?

a) Probability: 0.7, Expected: 49
b) Probability: 0.5, Expected: 35
c) Probability: 0.6, Expected: 42
d) Probability: 0.8, Expected: 56

Answer 1

The experimental probability that the next battery checked does not have a charge is 0.7, and therefore, out of the next 70 batteries, 49 are expected not to have a charge.

Step-by-step explanation:

The question deals with experimental probability in a real-world context, specifically regarding the number of batteries that do not have a charge in a given sample. The students need to calculate the experimental probability based on past results and use it to predict future outcomes.

From the given information, we can determine the experimental probability that the next battery checked does not have a charge. The probability is calculated by dividing the number of batteries without charge (14) by the total number of batteries checked (20).

Probability = 14/20 = 0.7.

Using this probability, we can expect the number of uncharged batteries in the next 70 batteries to be 70 * 0.7 = 49.

Therefore, the correct answer is: a) Probability: 0.7, Expected: 49.