Question

what is the probability of getting black and a king from a deck of 52 cards ​

Answer 1

Answer:

Black kings = 2 (Favourable cases)

.

Total Cards = 52 ( Total Cases)

.

P(Black King) = 2/52 = 1/26

Answer 2

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Given:

A deck of 52 cards

To find:

Probability of getting black cards = ?

Probability of getting king from 52 cards = ?

Solution:

Let S is the sample place

There are 52 cards in a pack

S = { 1,2,3..............,52}

n(S) = 52

Let A be the event of getting black card

∴ There are 26 black cards in pack of 52 cards

n(A) = 26

$\\ \\ P(A) = \dfrac{n(A) }{n(S) } \\ \\ = \dfrac{26}{52} \\ \\ = \dfrac{1}{2}$

P(A) = 1/2

Let B be the event of getting king

There are 4 king in pack of 52 cards

n(B) = 4

$\\ \\ P(B) = \dfrac{n(B) }{n(S) } \\ \\ = \dfrac{4}{52} \\ \\ = \dfrac{1}{13}$

P(B) = 1/13

Answer:

Therefore, probability of getting black card is 1/2 and of king is 1/13

Knowledge booster:

In a pack of 52 cards,

1. There are 26 red cards and 26 black cards
2. There are 4 kings, 4 queens, 4 jacks and 4 ace cards
3. In 26 red cards there are 13 diamond and 13 heart cards
4. In 26 black cards there are 13 club and 13 spade cards. Cards number as Ace, 2,3,4,5,6,7,8,9,10,jack, queen and king
5. Probability of an event A is written as P(A) and is defined as

P(A) = n(A) / n(S)