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Magazine Problem 78
Determine the number of permutations of the letters in the word BANANA.
Problem 96
A bag contains 4 white balls, 6 black balls, 3 red balls, and 8 green balls. If one ball is drawn from the bag, find the probability that it will be either white or green.
Problem 112
A hand of five cards is to be dealt at random and without replacement from an ordinary deck of 52 playing cards. Find the conditional probability of an all spade hand given that there will be at least 4 spades in the hand.
Problem 125
Twenty percent of the employees of a company are college graduates. Of these, \(75 \%\) are in supervisory position. Of those who did not attend college, \(20 \%\) are in supervisory positions. What is the probability that a randomly selected supervisor is a college graduate?
Problem 126
In a factory four machines produce the same product. Machine A produces \(10 \%\) of the output, machine \(\mathrm{B}, 20 \%\), machine C, \(30 \%\), and machine \(\mathrm{D}, 40 \%\). The proportion of defective items produced by these follows: Machine A: .001; Machine B: .0005; Machine C: .005; Machine D: .002. An item selected at random is found to be defective. What is the probability that the item was produced by A? by B? by C? by \(\mathrm{D} ?\)
