Question

A person is selected at random during the Republican National Convention. Suppose the probability that the person selected is a woman is 36%, the probability that the person selected is tall is 53%, and the probability that the person selected is left-handed is 12%. Assume that being female, tall, and left-handed are independent of each other. What is the probability that the person selected is a tall, left-handed woman?

Answer 1

2.29% probability that the person selected is a tall, left-handed woman

Explanation:

We have these following probabilities:

Probability that the person selected is a woman is 36%

Probability that the person selected is tall is 53%

Probability that the person selected is left-handed is 12%.

Assume that being female, tall, and left-handed are independent of each other. What is the probability that the person selected is a tall, left-handed woman?

They are independent, so we just multiply these probabilities

p = 0.36*0.53*0.12 = 0.0229

2.29% probability that the person selected is a tall, left-handed woman