Question

A card is drawn at random from a pack of 52 cards find the probability that card drawn is (a) black king (b) a spade (c) other than an ace (d) black and the king​

Answer 1

Answer:

1. Number of black king = 4

Probability of getting black king = 4/52 = 1/13

2. Number of spades = 13

Probability of getting spade = 13/52 = 1/13

3. Number of cards which is not ace =48

So required probability is 48/52 = 12/13

4. Number of black kings = 2

So, required probability = 2/52 = 1/26.

Answer 2

Given :

⬤ A Card is drawn at random from a Pack of 52 cards .

To Find :

⬤ Black King .

⬤ A Spade .

⬤ Other than an Ace .

⬤ Black and the King .

Formula Used :

$\sf{Probability=\dfrac{Favourable\:Outcomes}{Total\:Outcomes}}$

Solution :

Total Number of Cards = 52

(a) Black King .

As we know that , There are 2 black king in a deck of 52 Cards . Hence ,

Probability = Favourable Outcomes/Total Outcomes

Probability = 2/52

Probability = 1/26

(b) A Spade .

As we know that , There are 13 Spades in a deck of 52 Cards . Hence ,

Probability = Favourable Outcomes/Total Outcomes

Probability = 13/52

Probability = 1/4

(c) Other than an Ace .

• Total No. of Cards = 52

• Total Number of Ace = 4

As given that , Other than an Ace ,

52 - 4 = 28

Probability = Favourable Outcomes/Total Outcomes

Probability = 48/52

Probability = 12/13

(d) Black and the King .

• Total No. of Cards = 52

• No. of Black Cards = 26

• No. of Black King = 2

= 26 + 2 → 28

There are 28 Black and King Cards :

Probability = Favourable Outcomes/Total Outcomes

Probability = 28/52

Probability = 7/13