Question

martha has the unique talent of being able to guess other people's height and weight. the probability that she correctly guesses a person's height is }, and the probability that she correctly guesses a person's weight is 3. if martha meets three people and her success rate remains constant, what is the probabilty that martha correctly guesses a person's weight and height at least once?

Answer 1

The probability of Martha not guessing a person's weight and height correctly is 0.35, so the probability of guessing correctly at least once is 0.65, or 65%. To find the probability that Martha correctly guesses a person's weight and height at least once, we can use the concept of complementary events.

Step-by-step explanation:

To find the probability that Martha correctly guesses a person's weight and height at least once, we can use the concept of complementary events. The complementary event to Martha not guessing a person's weight and height correctly is Martha guessing it incorrectly. So, the probability of Martha not guessing correctly is 1 minus the probability of Martha guessing correctly.

1. The probability of Martha not guessing a person's height correctly is 1 - 0.5 = 0.5.
2. The probability of Martha not guessing a person's weight correctly is 1 - 0.3 = 0.7.

The probability of Martha not guessing a person's weight and height correctly is the product of the probabilities of not guessing the height correctly and not guessing the weight correctly. So, the probability of Martha not guessing a person's weight and height correctly is 0.5 * 0.7 = 0.35.

Finally, the probability of Martha correctly guessing a person's weight and height at least once is 1 minus the probability of not guessing correctly, which is 1 - 0.35 = 0.65, or 65%.