Problem

A single card is drawn from a standard 52-card deck. Find the conditional probability that the card is a heart, given that it is a queen. The probability that the card is a heart is and the probability that the card is a queen is (Simplify your answers.)

Solution

Step 1 :A single card is drawn from a standard 52-card deck. We are asked to find the conditional probability that the card is a heart, given that it is a queen.

Step 2 :There are 4 queens in a standard 52-card deck, and one of them is a heart.

Step 3 :So, the conditional probability that the card is a heart, given that it is a queen, is calculated as the number of heart queens divided by the total number of queens, which is \(\frac{1}{4}\).

Step 4 :Final Answer: The conditional probability that the card is a heart, given that it is a queen, is \(\boxed{0.25}\).

From Solvely APP
Source: https://solvelyapp.com/problems/37504/

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