SOLUTION: n a certain liberal arts college with about 10,000 students, 42% are males. If two students from this college are selected at random, what is the probability that they are of the s

Question 1123952: n a certain liberal arts college with about 10,000 students, 42% are males. If two students from this college are selected at random, what is the probability that they are of the same gender?
Your answer should be rounded to 4 decimal places.
And why? I s this disjoint or independent event?
Found 2 solutions by ikleyn, reviewermath:
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.

There are 4200 males and 5800 females. The probability that two students from this college, selected at random, are males is .. The probability that two students from this college, selected at random, are females is .. The probability that two students from this college, selected at random, are of the same gender is the sum . + . = 0.5128 (rounded to 4 decimal places).

Solved.

Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q: In a certain liberal arts college with about 10,000 students, 42% are males. If two students from this college are selected at random, what is the probability that they are of the same gender?
Your answer should be rounded to 4 decimal places.
And why? I s this disjoint or independent event?
-----------------------------------------
Answer:
Probability = (0.42)(0.42) + (0.58)(0.58) =
This can be considered as independent event because n/N = 2/10000 < 0.05
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