Question 414169
A pin consists of 2 letters followed by 3 numbers (assume repetition is allowed and order is important). 
a) how many different pin numbers are there?
26*26*10*10*10=676,000 
b) what is the probabilty a pin number selected randomly ends in 000?
26*26*9*9*9=492,804
So probability = 492,804/676,000
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c)what is the probability a pin selected at random begins with AA?
25*25*10*10*10=625,000
So probability = 625,000/676,000
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d)what is the probability a pin selected at random begins with A and ends with 00?
1*26*10*1*1=260
So probability = 260/676,000
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e)what is the probability a pin selected at random has a repeated letter and different numbers?
That depends on the rules followed for building the pin.
If repetition is allowed in building the pin the probability is 1.
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Cheers,
Stan H.
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