Question

One card is randomly drawn from a standard deck of 52 cards as shown in the figure below. Using the sample space for drawing a single card from this deck, find the probability that the card is a red queen. Give your answer as a reduced fraction.

Answer 1

`\sf (1)/(26)`

Explanation:

Probability:

There are 52 cards in a deck. So, total number of outcomes is 52. Getting a red queen is the favorable outcome. There are 13 + 13 = 26 red cards. In these 26 red cards, there are 2 red queens; one is heart and another is diamond. So, favorable outcome is 2

Total number of outcomes = 52

Number of favorable outcomes = 2

`\sf P(card \ is \ a \ red \ queen) = (number \ of \ favorable \ outcomes)/(number \ of \ outcomes)`

`\sf = (2)/(52)=(1)/(26)`

Answer:

`\bf (1)/(26)`