Question

A letter is chosen at random from letters of the word BOMBATIC. find the probability that the letter chosen is a I) vowel II) consonant

Answer 1

Probability =No of favourable outcomes/total no of outcomes
so,
1) 3/13
2) 10/13

Answer 2

The probability that the letter chosen is an I) vowel is 3/8 II) consonant is 5/8.

Given:

The word BOMBATIC

To Find:

The probability that the letter chosen is an I) vowel II) consonant.

Solution:

Total no of words present in the word "BOMBATIC" = 8

I) Vowel letters present in the "BOMBATIC" is O, A, and I.

∴ No of Vowels = 3

Probability of getting a vowel from the given word

= No of vowels / Total no of letters

= 3/8

II) Consonants present in the word "BOMBATIC" are B, M, B, T, and C.

∴ No of Consonants = 5

Probability of getting a consonant from the given word

=  No of consonant / Total no of letters

= 5/8

Therefore, the probability that the letter chosen is an I) vowel is 3/8 II) consonant is 5/8.

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