PROBABILITY PROBLEMS ON DECK OF CARDS

To do problems with deck of cards, we must know the following details.

One card is drawn from a well-shuffled deck of 52 cards.

Problem 1 :

Find the probability of getting a king of red colour

a.1/26     b. 2/13     c. 1/13     d. 3/26

Solution :

Total number of cards = 52

Total number of red king = 2

P (getting a red king) = 2/52

= 1/26

So, option (a) is correct.

Problem 2 :

Find the probability of getting a face card.

a.1/26     b.2/13     c.1/13     d.3/13

Solution :

Total number of cards = 52

Total number of face card = 12

P (getting a face cards) = 12/52

= 3/13

So, option (d) is correct.

Problem 3 :

Find the probability of getting a black face card.

a.1/26     b.2/13     c.1/13     d.3/26

Solution :

Total number of cards = 52

Total number black face cards = 6

P (getting a black face cards) = 6/52

= 3/26

So, option (d) is correct.

Problem 4 :

Find the probability of getting an ace.

a.1/26     b.2/13     c.1/13     d.3/26

Solution :

Total number of cards = 52

Total number of aces = 4

P (getting an ace) = 4/52

= 1/13

So, option (c) is correct.

Problem 5 :

Find the probability of getting a black card.

a.1/2     b.2/13     c.1/13     d.3/26

Solution :

Total number of cards = 52

Total number of black cards = 26

P (getting a black cards) = 26/52

= 1/2

So, option (a) is correct.

Problem 6 :

Find the probability of getting a face card or an ace.

a.4/13     b.2/13     c.1/13     d.3/13

Solution :

Total number of cards = 52

Total number of face cards = 12

Total number of ace = 4

P (either face card or ace) = (12 + 4) / 52

= 16/52

= 4/13

So, option (a) is correct.

Problem 7 :

Find the probability of getting a face card or black card.

a.4/13     b.8/13     c.7/13     d.3/13

Solution :

Total number of cards = 52

Total number of face card without black face cards = 6

Total number of black cards = 26

P (either face card or black card) = (6 + 26) / 52

= 32/52

= 8/13

So, option (b) is correct.

Problem 8 :

Find the probability of getting a king or red card.

a.4/13     b.8/13     c.7/13     d.3/13

Solution :

Total number of cards = 52

Total number of red cards = 26

Total number of king cards = 4

Since, two cards of king are red and two are black.

Favorable cards = 26 + 2 = 28

P (either king or red card) = 28 / 52

= 7/13

So, option (c) is correct.

Problem 9 :

Find the probability of getting a king and red card.

a.1/26     b.2/13     c.1/13     d.3/26

Solution :

Total number of cards = 52

Number of red cards = 26

Number of red kings = 2

P (getting a king and red card) = 2/52

= 1/26

So, option (a) is correct.

Problem 10 :

Find the probability of getting a king or queen card.

a.1/26     b.2/13     c.1/13     d.3/26

Solution :

Total number of cards = 52

Total number of king cards = 4

Total number of queen cards = 4

P (either king or queen card) = (4 + 4) / 52

= 8/52

= 2/13

So, option (b) is correct.