Out of vowels, of the English alphabet

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Out of vowels, of the English alphabet, one letter is selected at random. The probability of selecting ‘e’ is
(a) \\ \frac { 1 }{ 26 }
(b) \\ \frac { 5 }{ 26 }
(c) \\ \frac { 1 }{ 4 }
(d) \\ \frac { 1 }{ 5 }

Solution:

Vowels of English alphabet are a, e, i, o, u = 4
One letter is selected at random.
The probability of selecting ’e’ = \\ \frac { 1 }{ 5 } (d)

When a die is thrown, the probability of getting an odd number less than 3 is
(a) \\ \frac { 1 }{ 6 }
(b) \\ \frac { 1 }{ 3 }
(c) \\ \frac { 1 }{ 2 }
(d) 0

Solution:

A die is thrown
Total number of events = 6
Odd number less than 3 is 1 = 1
Probability = \\ \frac { 1 }{ 6 } (a)

A fair die is thrown once. The probability of getting an even prime number is
(a) \\ \frac { 1 }{ 6 }
(b) \\ \frac { 2 }{ 3 }
(c) \\ \frac { 1 }{ 3 }
(d) \\ \frac { 1 }{ 2 }

Solution:

A fair die is thrown once
Total number of outcomes = 6
Prime numbers = 2, 3, 5 and even prime is 2
Probability of getting an even prime number = \\ \frac { 1 }{ 6 } (a)

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