Question

Shreya picks a letter from the set of english alphabet and finds it to be a vowel. What is the probability that the letter is either a or u?

Answer 1

Answer:

2/5

Step-by-step explanation:

Hi,

Let 'A' be the event of picking either 'a' or 'u' out of set of english alphabets.

Let 'B' be the event of picking a vowel out of set of english alphabets.

Since there are 5 vowels out of 26 alphabets, the probability of getting a

vowel would be

=> P(B) = 5/26.

Conditional Probability, P(A/B) = P(A ∩ B)/P(B)

P(A ∩ B) = 2/26

So,  P(A/B) = 2/5.

Hence the probability that the letter is either a or u is 2/5.

Hope, it helped !

Answer 2

Solution:

Total cases = 26

Favourable cases for that number to be a vowel = 5

Probability of getting a vowel from the set

p(E) = 5/26

and Probability of getting 'a'

p(a/E) = 1/5

and

probability that the letter is either is 'u' p(u/E) = 1/5

So, Probability of getting 'a' or 'u' = 1/5+1/5

= 2/5

Hope it helps you.