If one card is drawn from a well-shuffled pack of 52 cards.

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If one card is drawn from a well-shuffled pack of 52 cards, the probability of getting an ace is
(a) \\ \frac { 1 }{ 52 }
(b) \\ \frac { 4 }{ 13 }
(c) \\ \frac { 2 }{ 13 }
(d) \\ \frac { 1 }{ 13 }

Solution:

Total number of cards = 52
Number of aces = 4
Probability of card being an ace = \\ \frac { 4 }{ 52 } = \\ \frac { 1 }{ 13 } (d)

A card is selected at random from a well-shuffled deck of 52 cards. The probability of its being a face card is
(a) \\ \frac { 3 }{ 13 }
(b) \\ \frac { 4 }{ 13 }
(c) \\ \frac { 6 }{ 13 }
(d) \\ \frac { 9 }{ 13 }

Solution:

Total number of cards = 52
No. of face cards = 3 × 4 = 12
.’. Probability of face card = \\ \frac { 12 }{ 52 } = \\ \frac { 3 }{ 13 } (a)

A card is selected at random from a pack of 52 cards. The probability of its being a red face card is
(a) \\ \frac { 3 }{ 26 }
(b) \\ \frac { 3 }{ 13 }
(c) \\ \frac { 2 }{ 13 }
(d) \\ \frac { 1 }{ 2 }

Solution:

Total number of card = 52
No. of red face card = 3 × 2 = 6
.’. Probability = \\ \frac { 6 }{ 52 } = \\ \frac { 3 }{ 26 } (a)

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