SOLUTION: Help Me Please
A math class consists of 40 students, 23 female and 17 male. Three students are selected at random, one at a time, to participate in a probability experiment (sel
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A math class consists of 40 students, 23 female and 17 male. Three students are selected at random, one at a time, to participate in a probability experiment (sel
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Question 1048494: Help Me Please
A math class consists of 40 students, 23 female and 17 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).
(a) What is the probability that a male is selected, then two females? Answer by solver91311(24713) (Show Source):
a) There are 17 males in a class of 40, so the probability of selecting a male is . Once a male has been selected, there are still 23 females to choose from, but now there are only 39 total students. Hence, the probability of selecting a female on the second selection is . Then once a male has been selected first and a female has been selected second, there are 22 females remaining out of a total class size of 38. Probability of a female on the third selection is then .
Since these are three independent events (made independent based on adjusting the numerator and denominator for the individual probabilities of the three events), the total probability is the product of the three:
The rest is just arithmetic.
John
My calculator said it, I believe it, that settles it
