Question

A letter is chosen at random from the word mathematics find the probability that the letter chosen is a vowel and a consonant

Answer 1

The probabilities would be 4/11 and 7/11 respectively.

1) Total length of the given word i.e. Mathematics = 11

2) Number of vowels in the given word = 4 i.e. a,e,a,i

3) Number of consonants in the given word = 7 i.e. m,t,h,m,t,c,s

4) The probability of choosing a vowel would be 4/11 = 0.3636..

5) The probability of choosing a consonant would be 7/11 = 0.6363...

Answer 2

Answer:

probability for vowel = 3/8 , consonant = 5/8

Step-by-step explanation:

Given :- MATHEMATICS

To find :- probability that the letter chosen is a vowel and a consonant .

Solution :-

• letters of the word , M A T H E M A T I C S .
• making sets of vowels and consonants ,
• vowels , V = { A , E , I } , n(V) = 3
• consonants , C = { M , T  , H , C , S }  , n(C) = 5 .
• set of all the letters ( letter must not be repeated in the set )

             U = { M , A  , T , H , E , I , C , S }  ; n(U) = 8 .

• probability that letter chosen is a vowel = 3/8
• probability that letter chosen is a consonant = 5/8

Answer ,

probability for vowel = 3/8 , consonant = 5/8

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