Problem

One card is drawn from a standard 52-card deck. Determine the probability that the card is a) a club, b) a club, given that the card is a red card. a) The probability that the card is a club is $\square$. (Type an integer or a simplified fraction.) b) The probability that the card is a club, given that the card is a red card, is $\square$. (Type an integer or a simplified fraction.)

Solution

Step 1 :The probability of drawing a club from a standard 52-card deck is the number of clubs divided by the total number of cards.

Step 2 :There are 13 clubs in a deck of 52 cards.

Step 3 :The probability is \( \frac{13}{52} \).

Step 4 :Simplify the fraction \( \frac{13}{52} \) to \( \frac{1}{4} \).

Step 5 :Final Answer: a) The probability that the card is a club is \( \boxed{\frac{1}{4}} \).

Step 6 :Since the card is given to be a red card, the probability of it being a club is 0 because clubs are black cards.

Step 7 :Final Answer: b) The probability that the card is a club, given that the card is a red card, is \( \boxed{0} \).

From Solvely APP
Source: https://solvelyapp.com/problems/NzN6y5PcZ8/

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