The probability that it is a letter of the word ‘DELHI’.

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If a letter is chosen at random from the letters of English alphabet, then the probability that it is a letter of the word ‘DELHI’ is
(a) \\ \frac { 1 }{ 5 }
(b) \\ \frac { 1 }{ 26 }
(c) \\ \frac { 5 }{ 26 }
(d) \\ \frac { 21 }{ 26 }

Solution:

Total number of English alphabets = 26
Letter of Delhi = D, E, L, H, I. = 5
Probability = \\ \frac { 5 }{ 26 } (c)

A card is drawn from a well-shuffled pack of 52 playing cards. The event E is that the card drawn is not a face card. The number of outcomes favourable to the event E is
(a) 51
(b) 40
(c) 36
(d) 12

Solution:

Number of playing cards = 52
Probability of a card which is not a face card = (52 – 12) = 40
Number of possible events = 40 (b)

A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is
(a) 4
(b) 13
(c) 48
(d) 51

Solution:

Total number of cards = 52
Balance 52 – 1 = 51
Number of possible events = 51 (d)

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