SOLUTION: Your debit card pin number contains 5 digits: 2 sixes, 2 threes and ends in a 5. What is the probability that you fail to guess the pin correctly (in other words you get it wrong t

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Question 625236: Your debit card pin number contains 5 digits: 2 sixes, 2 threes and ends in a 5. What is the probability that you fail to guess the pin correctly (in other words you get it wrong three times).
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
There are 6 possibilities

{33665, 36365, 36635, 63365, 63635, 66335}

We will assume you will not try the same number twice.

We use the principle that "AND corresponds to MULTIPLICATION":

The probability of

 = P×P×P = ×× = 

Edwin
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