A new computer owner creates a password consisting of two characters. She random

Question

A new computer owner creates a password consisting of two characters. She randomly selects a letter of the alphabet for the first character and a digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) for the second character. What is the probability that her password is "K9"? P(A and B) = _________ In the 107^th Congress, the Senate consists of 13 women and 87 men. If a lobbyist for the tobacco industry randomly selects three different senators, what is the probability that they are all women? P(A and B and C) = _________ Assume your alarm clock has a 0.975 probability of working on any given morning. If you have two such alarm clocks, what is the probability that they both fail on any given morning? (first determine the compliment to P(A)). P(A and B) = __________

Explanation / Answer

4) number of passwords with first charecter is letter and second digit =26*10=260

hence probability of K9 =1/260

5|)probability =(13/100)*(12/99)*(11/98)=0.001769

6)probabilty that they both fail =(1-0.975)*(1-0.975)=0.000625

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