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suppose a license plate for a car has 4 letters followed by 1 number and 3 more letters. The letters and numbers are chosen randomly.

a. how many license plates are possible?

b. compare the probability that a license plate spells math4you with the probability that the first 4 letters spell math.

  • math -

    Each letter has a probability of 1/26 and the numeral has a 1/10 probability. Multiply the eight probabilities and the denominator of the product will be you answer for a.

    The probability for "math4you" is the above product. The probability for "math" = (1/26)^4.

    I hope this helps. Thanks for asking.

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