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amm1812
3 years ago
13

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?
Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

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

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:

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

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

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