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A license plate consists of two nonzero digits followed by four letters. if such

ID: 3202008 • Letter: A

Question

A license plate consists of two nonzero digits followed by four letters. if such a plate is chosen at random, what is the probability that the digits are the same, or there are no vowels in the letters? A license plate consists of two nonzero digits followed by four letters. if such a plate is chosen at random, what is the probability that the digits are the same, or there are no vowels in the letters? A license plate consists of two nonzero digits followed by four letters. if such a plate is chosen at random, what is the probability that the digits are the same, or there are no vowels in the letters?

Explanation / Answer

Probability of same digits = 1/9

(there are only 9 digits possible)

No of non vowels in english = 21

Total letters = 26

Probability of no vowels = (21/26)4 = 0.4256

Probability that the digits are same or there are no vowels = 0.4256 + (1/9)

= 0.5367

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