Question

A bag contains the letters from the words SUMMER VACATION. You randomly choose a letter. What is the probability that you choose the letter M?

Answer 1

The word SUMMER VACATION has 14 letters in total.
So in that case, 14 would be your denominator.
For the probability if you chose the letter ‘M’, you would need to count all the ‘M’(s) in SUMMER VACATION.

There are two ‘M’s in SUMMER VACATION so the total number of ‘M’s would be your numerator.

2/14 is your answer.
2 (letters of M) / 14 (all letters in total)

If you want to simplify it further then the answer would be 1/7.

Answer 2

we have about 14 letters in the given word .

let
`P(M) be the probability of letter M in word`.

there are 2 M in words.n(m)=2 and n(s)=14.

so the probability be
`=P(M)=n(M)/n(s) =(2)/(14) =(1)/(7) .`