SOLUTION: Hi, please help me solve this problem There are 14 boys and 16 girls in Mrs. Kellogg's 4th grade class. A picnic committee of three people is selected at random from the total g

Algebra ->  Probability-and-statistics -> SOLUTION: Hi, please help me solve this problem There are 14 boys and 16 girls in Mrs. Kellogg's 4th grade class. A picnic committee of three people is selected at random from the total g      Log On


   



Question 1081615: Hi, please help me solve this problem
There are 14 boys and 16 girls in Mrs. Kellogg's 4th grade class. A picnic committee of three people is selected at random from the total group of students in the class.
a) What is the probability that all the committee members are boys?
b) What is the probability that the committee will contain at least one girl?
Thanks!!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
There are 14 boys and 16 girls in Mrs. Kellogg's 4th grade class. A picnic committee of three people is selected at random from the total group of students in the class.
a) What is the probability that all the committee members are boys?
b) What is the probability that the committee will contain at least one girl?
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At least 1 girl means 1, or 2 or 3 girls.
P(1 girl) = 1/30
P(2 girls = (1/30)*(1/29)
P(3 girls = (1/30)*(1/29)*(1/28)
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--> P(>=1) = the sum of the 3 P's
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a) What is the probability that all the committee members are boys?
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Look at b)
Can you figure it out from that?