a) A class has 12 boys and 4 girls. Suppose three students are selected at random from the class. Find the probability P that they are all boys using Multiplication theorem for conditional probability.
(b) Using the Pigeonhole Principle find the minimum number of researchers required in a research project to be sure that at least ten will receive the same sub-topic, if there are nine possible sub-topics A,B,C,D,E,F,G,H,I.
Problem with math quesiton?
The prob of the first being a boy is 12/16
the prob of the second being a boy is 11/15
and that of the third being a boy is 10/14
of all being boys is these multiplied together
ie 12/16 x 11/15 x 10/14 = 11/28
Hope this answers your question I don't understand the second question
Reply:A) The Probability is 12 to 4
B)20 to 10
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