The probability of drawing two clubs from a standard 52 card deck is 0.0588. The probability of drawing the first club is 0.25. What is the probability of drawing a second club, given the first card drawn was a club?

Question

Mathematics

Genevieve Patton

10 April, 05:59

The probability of drawing two clubs from a standard 52 card deck is 0.0588. The probability of drawing the first club is 0.25. What is the probability of drawing a second club, given the first card drawn was a club?

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Answers (1)

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Caylee Hahn · Answer 1

The probability of drawing a second club, given the first card drawn was a club is 0.2353 or 23.53%

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Probability of drawing two clubs from a standard 52 card deck = 0.0588

Probability of drawing the first club = 0.25

2. What is the probability of drawing a second club, given the first card drawn was a club?

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total number of possible outcomes

Therefore, after drawing a first club, there are only 12 club cards more in the deck and 51 cards remaining. Replacing with these values, we have:

Probability of drawing a second club, given the first card drawn was a club: 12/51 = 0.2353

That's why the probability of drawing two clubs from a standard 52 card deck is 0.0588 = 0.25 * 0.2353