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

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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(52788) About Me  (Show Source):
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There are 4200 males and 5800 females.


The probability that two students from this college, selected at random, are males is  4200%2F10000.4199%2F9999.


The probability that two students from this college, selected at random, are females is  5800%2F10000.5799%2F9999.


The probability that two students from this college, selected at random, are of the same gender is the sum


    4200%2F10000.4199%2F9999 + 5800%2F10000.5799%2F9999 = 0.5128 (rounded to 4 decimal places).

Solved.


Answer by reviewermath(1029) About Me  (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?
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Answer:
Probability = (0.42)(0.42) + (0.58)(0.58) = highlight%280.5128%29
This can be considered as independent event because n/N = 2/10000 < 0.05