Multiple choice

In a club, a member is either an Indian or a non-Indian, who is either a man or a woman. One-third of them are women, two-thirds of them are Indian and three-eighths of the non-Indians are women. What is the probability that a man picked at random is a non-Indian?

  1. 0.2525

  2. 0.2125

  3. 0.2925

  4. 0.3125
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total members be 1. Women = 1/3, so Men = 2/3. Indians = 2/3, so Non-Indians = 1/3. Non-Indians who are women = 3/8 of 1/3 = 1/8. Non-Indians who are men = 1/3 - 1/8 = 5/24. The probability a man is a non-Indian is (5/24) / (2/3) = 5/16 = 0.3125.

AI explanation

Assume the total number of members is 24, so 16 are Indian and 8 are non-Indian. Three-eighths of the non-Indians are women, meaning 3 are non-Indian women and 5 are non-Indian men. Since one-third of the total members are women, there are 8 women, leaving 16 men. The probability that a randomly picked man is non-Indian is 5 divided by 16, which equals 0.3125.

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