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Chapter 8: Problem 421
Determine the probability of getting 6 or 7 in a toss of two dice.
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What is the probability of making a 7 in one throw of a pair of dice?
Your company uses a pre-employment test to screen applicants for the job of repairman. The test is passed by \(60 \%\) of the applicants. Among those who pass the test \(80 \%\) complete training successfully. In an experiment, a random sample of applicants who do not pass the test is also employed. Training is successfully completed by only \(50 \%\) of this group. If no pre- employment test is used, what percentage of applicants would you expect to complete training successfully?
In a factory four machines produce the same product. Machine A produces \(10 \%\) of the output, machine 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 \(\mathrm{D} ?\)
In the St. Petersburg Community College, \(30 \%\) of the men and \(20 \%\) of the women are studying mathematics. Further, \(45 \%\) of the students are women. If a student selected at random is studying mathematics, what is the probability that the student is a woman?
There are 23 white balls and 2 blue balls in a box. If three balls are drawn at random, what is the probability that none of the three balls are blue?
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