Question

Two letters are randomly picked from the word gloat. find the probability that at least one is a vowel..

Answer 1

the probability shall be 2/5

Answer 2

Answer:

0.7

Step-by-step explanation:

Given : Two letters are randomly picked from the word gloat.

To Find :  find the probability that at least one is a vowel..

Solution:

GLOAT

Consonants = G,L,T=3

Vowels = A,O = 2

Total letters = 5

Probability of getting Consonant on first Draw =$\frac{\text{No. of consonants}}{\text{total Letters}}$

                                                                             =$\frac{3}{5}$

Now remaining letters = 4

No. of Remaining consonants = 2

Probability of getting Consonant on second Draw =$\frac{\text{No. of consonants}}{\text{total Letters}}$

                                                                             =$\frac{2}{4}$

So, the probability of getting Consonant on Both Draw  =$\frac{2}{4} \times \frac{3}{5}$

                                                                                            =$\frac{6}{20}$

So, the probability of getting no vowel on Both Draw =$\frac{6}{20}$

So, Probability of getting at least one is a vowel =$1-\frac{6}{20}$

                                                                               =$\frac{14}{20}$

                                                                               =$0.7$

Hence the probability that at least one is a vowel is 0.7