Question

What is the probability of drawing a black card in a deck of cards?
A. ${\displaystyle \frac{5}{13}}$
B. ${\displaystyle \frac{1}{2}}$
C. ${\displaystyle \frac{5}{11}}$
D. None of these

Answer 1

Hint: In order to solve this problem you need to know that in a deck there are 52 cards and among 52 cards there are 26 black and 26 red cards. Knowing this and using the formula of probability you will get the right answer.

Complete step by step answer:
There are 52 cards in which 26 are of black color and other 26 are of red.
So, the total number of black cards = 26.
Therefore the number of favorable outcomes is 26.
Total number of outcomes is 52. Since, there are 52 cards.
Then on applying the formula of probability to the number of favorable outcomes upon total number of outcomes.
We get the probability as = ${\displaystyle \frac{26}{52}}={\displaystyle \frac{1}{2}}$.
So, the probability of getting a red face card from a deck of 52 playing cards is ${\displaystyle \frac{1}{2}}$.

So, the correct answer is “Option B”.

Note: When you get to solve such problems cards you need to know that A "standard" deck of playing cards consists of 52 Cards in each of the 4 suits of Spades, Hearts, Diamonds, and Clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. Knowing these things will solve your problems.