High School

In a group of 50 adults, 12 out of the 30 women are overweight, and six out of the 20 men are overweight. What is the probability that a person chosen from the group is a woman or someone who is overweight?

Answer :

Final answer:

To find the probability that a person chosen from the group is a woman or someone who is overweight, we need to add the probabilities of being a woman and being overweight and then subtract the probability of being both a woman and overweight. The probability is 0.72.

Explanation:

To find the probability that a person chosen from the group is a woman or someone who is overweight, we need to add the probabilities of being a woman and being overweight and then subtract the probability of being both a woman and overweight.

Probability of being a woman = number of women / total number of adults = 30 / 50 = 0.6

Probability of being overweight = (number of overweight women + number of overweight men) / total number of adults = (12 + 6) / 50 = 0.36

Probability of being both a woman and overweight = number of overweight women / total number of adults = 12 / 50 = 0.24

Therefore, the probability that a person chosen from the group is a woman or someone who is overweight is:

0.6 + 0.36 - 0.24 = 0.72