Question

Three cards are dealt, one after the other, from an shuffled 52-card fair deck. a) What...

Three cards are dealt, one after the other, from an shuffled 52-card fair deck.

a) What is the probability of getting three Kings if the cards are replaced after being chosen?

b) If the cards are not replaced after being chosen, why is it wrong to say that the probability of getting three Kings is correctly given in part a? Explain precisely. What is the correct probability of this event?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a) What is the probability of getting three Kings if the cards are replaced after being chosen?

Ans:

P = 4C1/52C1 * 4C1/52C1 * 4C1/52C1

P = 0.000455

b) If the cards are not replaced after being chosen, why is it wrong to say that the probability of getting three Kings is correctly given in part a? Explain precisely. What is the correct probability of this event?

Ans: Probability changes because cards are not replaced now

P = 4C1/52C1 * 3C1/51C1 * 2C1/50C1

P = 0.00018

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