SOLUTION: 2. In the state of Idaho, license plates consist of 3 capital letters and 3 digits. a. How many license plates are possible? b. What is the probability that a random plate be

Algebra ->  Probability-and-statistics -> SOLUTION: 2. In the state of Idaho, license plates consist of 3 capital letters and 3 digits. a. How many license plates are possible? b. What is the probability that a random plate be      Log On


   

Question 877933: 2. In the state of Idaho, license plates consist of 3 capital letters and 3 digits.
a. How many license plates are possible?

b. What is the probability that a random plate begins with the letter X?


c. What is the probability that a random plate begins with the letter X and ends in a 9?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N=26%2A26%2A26%2A10%2A10%2A10
N=17576000
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N%5BX%5D=1%2A26%2A26%2A10%2A10%2A10
N%5BX%5D=6760000
P%5BX%5D=6760000%2F17576000=1%2F26 Makes sense since there are 26 letters, X is one.
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N%5BX%2C9%5D=1%2A26%2A26%2A10%2A10%2A1
N%5BX%2C9%5D=67600
P%5BX%2C9%5D=67600%2F17576000=1%2F260Makes sense since there are 10 digits, it is 1/10 the probability of X alone from above.