Question

in a deck of 52 cards. What is the probability of getting: a) Black Cards c) Red Cards c) Face cards?

Answer 1

In the deck of 52 cards the probability of getting

1. Black card = 26/ 52

= 1/2

2. Red cards = 26/ 52

= 1/2

3. Face cards = 12/ 52

= 3/13

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Answer 2

Solution:-

a.) Total number of cards in a deck = 52

Number of black cards in a deck = 13 × 2 = 26

Probability = number of favourable outcomes / total number of outcomes

Probability of getting a black card = number of black cards / total number of cards

= 26/52

= 1/2

Therefore, the probability of getting a black card is 1/2.

b.) Total number of cards in a deck = 52

Number of red cards in a deck = 13 × 2 = 26

Probability = number of favourable outcomes / total number of outcomes

Probability of getting a red card = number of red cards / total number of cards

= 26/52

= 1/2

Therefore, the probability of getting a red card is 1/2.

c.) Total number of cards in a deck = 52

Number of face cards in a deck = 3 × 4 = 12

Probability = number of favourable outcomes / total number of outcomes

Probability of getting a black card = number of face cards / total number of cards

= 12/52

= 3/13

Therefore, the probability of getting a face card is 3/13.