SOLUTION: A statistics textbook chapter contains 66 exercises, 12 of which are essay questions. A student is assigned 16 problems. (a) What is the probability that none of the questio

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Question 1127270: A statistics textbook chapter contains 66 exercises, 12 of which are essay questions. A student is assigned 16 problems.

(a)
What is the probability that none of the questions are essay? (Round your answer to 4 decimal places.)

(b) What is the probability that at least one is essay? (Round your answer to 4 decimal places.)

(c) What is the probability that two or more are essay? (Round your answer to 4 decimal places.)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
54 not essay
12 essay
number of possible choices is 66C16
none is an essay would be 54C16*(12C0)/66C16=0.0247
The probability at least one is an essay is 1-the first answer or 0.9753
The probability one is an essay is 54C15*16C1/66C16=0.1619
So the probability 0 or 1 is an essay is 0.1866
The probability that two or more are essays is 0.8134