Ask Question
17 August, 08:12

Choose an American adult at random. The probability that you choose a woman is 0.52. 0.52. The probability that the person you choose has never married is 0.26. 0.26. The probability that you choose a woman who has never married is 0.11. The probability that the person you choose is either a woman or has never been married (or both) is therefore а bout:

(a) 0.77.

(b) 0.66.

(c) 0.44.

(d) 0.38.

(e) 0.13.

+4
Answers (1)
  1. 17 August, 10:26
    0
    The probability that the person you choose is either a woman or has never been married (or both) is therefore about 0.66

    Step-by-step explanation:

    Given dа ta:

    Probability of choosing a women = P (W) = 0.52

    Probability that chosen person has never married = P (M) = 0.26

    Probability of choosing a women that has never married = P (W and M) = 0.11

    We need to find the probability that the person you choose is either a woman or has never been married (or both). The addition rule of probabilities of two events is given as:

    P (A or B) = P (A) + P (B) - P (A and B)

    P (A or B) is the probability of occurrence of either A or B or both. P (A and B) is the probability of occurrence of A and B at the same time.

    Re-writing the addition formula for given case, we get:

    P (W or M) = P (W) + P (M) - P (W and M)

    Substituting the given values results in:

    P (W or M) = 0.52 + 0.26 - 0.11

    P (W or M) = 0.67

    Therefore, the probability that the person you choose is either a woman or has never been married (or both) is 0.67.

    Note: There is either typo in given options or the questions. The question I found on Google has 0.25 as the probability that the person you choose has never married (i. e. P (M) = 0.25).

    So, in this case the correct answer would be option (b) 0.66
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Choose an American adult at random. The probability that you choose a woman is 0.52. 0.52. The probability that the person you choose has ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers