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Four persons are chosen at random from a group of 5 men, 3 women and 4 children. Find the probability of selecting 2 men, 2 woman and 2 children.
- a)1/5
- b)2/5
- c)4/11
- d)5/13
- e)1/25
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Four persons are chosen at random from a group of 5 men, 3 women and 4...
To find the probability of selecting 2 men, 2 women, and 2 children from a group of 5 men, 3 women, and 4 children, we can use the concept of combinations.
Total number of people in the group = 5 men + 3 women + 4 children = 12
Number of ways to select 2 men from 5 men = C(5, 2) = 10
Number of ways to select 2 women from 3 women = C(3, 2) = 3
Number of ways to select 2 children from 4 children = C(4, 2) = 6
Total number of ways to select 2 men, 2 women, and 2 children = 10 * 3 * 6 = 180
Total number of ways to select 4 persons from the group of 12 = C(12, 4) = 495
Therefore, the probability of selecting 2 men, 2 women, and 2 children is 180/495 = 4/11.
Therefore, the correct answer is option C) 4/11.
Total number of people in the group = 5 men + 3 women + 4 children = 12
Number of ways to select 2 men from 5 men = C(5, 2) = 10
Number of ways to select 2 women from 3 women = C(3, 2) = 3
Number of ways to select 2 children from 4 children = C(4, 2) = 6
Total number of ways to select 2 men, 2 women, and 2 children = 10 * 3 * 6 = 180
Total number of ways to select 4 persons from the group of 12 = C(12, 4) = 495
Therefore, the probability of selecting 2 men, 2 women, and 2 children is 180/495 = 4/11.
Therefore, the correct answer is option C) 4/11.
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Community Answer
Four persons are chosen at random from a group of 5 men, 3 women and 4...
The probability of choosing six person as 2 men , 2 women and 2 children out of 12 people = 5C2 x 3c2 x 4C2 / 12C6
On solving, we get = 15/77
On solving, we get = 15/77
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Four persons are chosen at random from a group of 5 men, 3 women and 4 children. Find the probability of selecting 2 men, 2 woman and 2 children.a)1/5b)2/5c)4/11d)5/13e)1/25Correct answer is option 'C'. Can you explain this answer?
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