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09 Apr 2025, 00:30
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A
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Difficulty:
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68% (01:32) correct
32%
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There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?
A. 18/35
B. 16/35
C. 14/35
D. 13/35
E. 12/35
A. 18/35
B. 16/35
C. 14/35
D. 13/35
E. 12/35
09 Apr 2025, 00:55
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Number of men is equal to that of women, means 2 each
Selecting 2 men = 4C2
Selecting 2 women = 4C2
Selecting 4 students = 8C4
P(number of men is equal to that of women) = 4C2 * 4C2/8C4 = 18/35
Selecting 2 men = 4C2
Selecting 2 women = 4C2
Selecting 4 students = 8C4
P(number of men is equal to that of women) = 4C2 * 4C2/8C4 = 18/35
Bunuel
09 Apr 2025, 03:52
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Question:
There are 8 students. 4 of them are men and 4 of them are women.
If 4 students are selected from the 8 students, what is the probability that the number of men is equal to that of women?
We are selecting 4 students such that number of men = number of women
That means 2 men and 2 women.
Step 1: Total number of ways to choose 4 students from 8
= C(8, 4) = 70
Step 2: Number of favorable ways
Choose 2 men from 4 → C(4, 2) = 6
Choose 2 women from 4 → C(4, 2) = 6
Total favorable = 6 * 6 = 36
Step 3: Required probability = favorable / total = 36 / 70 = 18 / 35
Answer: A
There are 8 students. 4 of them are men and 4 of them are women.
If 4 students are selected from the 8 students, what is the probability that the number of men is equal to that of women?
We are selecting 4 students such that number of men = number of women
That means 2 men and 2 women.
Step 1: Total number of ways to choose 4 students from 8
= C(8, 4) = 70
Step 2: Number of favorable ways
Choose 2 men from 4 → C(4, 2) = 6
Choose 2 women from 4 → C(4, 2) = 6
Total favorable = 6 * 6 = 36
Step 3: Required probability = favorable / total = 36 / 70 = 18 / 35
Answer: A
Bunuel
