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16 September, 06:11

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?

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  1. 16 September, 06:20
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    2.29% probability that the person selected is a tall, left-handed woman

    Step-by-step 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
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