Question

the card is drawn at random from a pack of 52 cards.find the probability that the card drawn is a black king.​

Answer 1

Total Number of Cards = 52

Required Event = Black King = 2(One of Spade and one of Club)

So, Probability=

$\frac{Required \: no. \: of \: events}{Total \: no. \: of \: events} \\ \\ = \: \frac{2}{52} = \frac{1}{26}$

Probability so required = 1/26

Answer 2

The probability that the card drawn is a black king is $\frac{1}{26}$

Solution:

The probability of an event is given as:

$Probability = \frac{\text{number of favorable outcomes}}{\text{ total number of possible outcomes }}$

Given that,

Card is drawn at random from a pack of 52 cards

Total number of possible outcomes = 52

Find the probability that the card drawn is a black king

Favorable outcomes = black king

Favorable outcomes = king of spades and king of clubs

Therefore,

Number of favorable outcomes = 2

Thus probability is given as:

$Probability = \frac{2}{52}\\\\Probability = \frac{1}{26}$

Thus probability that the card drawn is a black king is $\frac{1}{26}$

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