6 cards are drawn at random from a standard deck, without replacement. Find the

Question

6 cards are drawn at random from a standard deck, without replacement. Find the probability that all the cards are hearts. Preview Preview Find the probability that all the cards are face cards Note: Face cards are kings, queens, and jacks. Preview Find the probability that all the cards are even. (Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13) Question 8. Points possible: 1 This is attempt 3 of 3. What is the probability that if 12 letters are typed, no letters are repeated? The probability that no letters are repeated is Question 9. Points possible: 1 . Preview This is attempt 3 of 3

Explanation / Answer

6. a) The probability that all the cards are hearts is 13C6 / 52C6 = 0.000084289

b) The probability that all the cards are face cards is 13C6 / 52C6 = 0.000045386

c) The probability that all the cards are even cards is 24C6 / 52C6 = 0.006611286

d) 12 letters with repeats permitted has 26^12 possibilities
12 letters with no repeats allowed has P(26,12) possibilities

P(26,12)/(26^12) ? 0.0485

The required probability is about 0.0485

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