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What is the probability of drawing two blue cards if the first one is replaced before the second draw? Assume the first is blue.

What is the probability of drawing two blue cards if the first one is replaced before-example-1
User Clangon
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2 Answers

5 votes

Answer: 1/15

Step-by-step explanation: the answer on Acellus is 1/15

User Tin
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6 votes

Answer:

3/10

Explanation:

You want the probability of two blue cards if the first is drawn with replacement, and is blue.

P(blue)

The probability of drawing a blue card is the same as the fraction of cards that are blue: 3/10. The joint probability of two blues is the product of their individual probabilities. Since we are certain the first card is blue, its probability is 1.

P(2 blue) = P(first blue) · P(second blue)

P(2 blue) = 1 · 3/10 = 3/10

The probability of drawing 2 blue cards, given the first one is blue, is 3/10.

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User Katrin Annuk
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