Three letters are chosen at random without replacement from the word HEART in a row.

Question

 Find the probability that?

a) the letter H is chosen 

the answer is 0.6 

I want to know how to get that answer 

b) both vowels are chosen 

PLEASE HELP ME !

Answer 1

The word is HEART.

a) Number of ways that the one letter H from 3 letters without replacement is .

Number of ways that the letter H is chosen from all the letters without replacement is .

Probality of selecting letter H is .

 

b) Vowels in the word HEART are E and A.

Probality of choosing both vowels is =0.4