A 4letter word is selected at random from sigma4 which is th

A 4-letter word is selected at random from sigma^4 which is the collection of 4 - letter strings taken from the set sigma = {a, b, c, d,e,} What is the probability that here are no vowels in the word.

Solution

a and e are the vowels

So the required probability is the probability that no letter is either a or e. i.e. every letter is from b,c,d

P(required) = 3/5 .3/5. 3/5.3/5 = 81/625

 A 4-letter word is selected at random from sigma^4 which is the collection of 4 - letter strings taken from the set sigma = {a, b, c, d,e,} What is the probabi

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