Once card is drawn at random from a well-shuffled deck of 52 cards.

Question:

Once card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a black face card?

(a) $\frac{1}{26}$

(b) $\frac{3}{26}$

(c) $\frac{3}{13}$

(d) $\frac{3}{14}$

 

Solution:

(b) $\frac{3}{26}$

Explanation:
Total number of all possible outcomes= 52
Number of  black face cards ( 2 kings + 2 queens  + 2 jacks) = 6

$\therefore P($ getting a black face card $)=\frac{6}{52}=\frac{3}{26}$

 

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