Problem

A single card is drawn from a standard deck of cards. Find the probability if the given information is known about the chosen card. (Enter the probability as a fraction.) $P$ (queen|red)

Solution

Step 1 :The problem is asking for the conditional probability of drawing a queen given that the card drawn is red. In a standard deck of 52 cards, there are 26 red cards (13 hearts and 13 diamonds). Among these 26 red cards, there are 2 queens (one queen of hearts and one queen of diamonds).

Step 2 :So, the probability of drawing a queen given that the card is red is 2 out of 26.

Step 3 :Simplify the fraction 2/26 to get the final answer.

Step 4 :\(\boxed{\frac{1}{13}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8262/

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