Ten cards are dealt from a deck of 52 cards. What is the probability that the ac

Question

Ten cards are dealt from a deck of 52 cards. What is the probability that the ace of spades is one of the 10 cards? Suppose one of the 10 cards is chosen at random and found not to be the ace of spades. What is the probability that none of the 10 cards is the ace of spades? Suppose the experiment in part (b) is repeated a total of 10 times (replacing the card looked at each time), and the ace of spades is not seen. What is the probability that the ace of spades actually is one of the 10 cards? The probability that the ace of spades is one of the 10 cards is . (Type an exact answer.) The probability that none of the 10 cards is the ace of spades is . (Type an exact answer.) The probability that the ace of spades actually is one of the 10 cards, given that the experiment from part (b) was performed 10 times without seeing the ace of spades, is approximately . (Round to three decimal places as needed.)

Explanation / Answer

a) 10 cards are taken from 52 cards

Total no. of possobilities of selecting 10 cards = 52c10

0f 10 cards, 1 card is ace spade, possibilities = 51c9

Therefore, probability that one card is ace of spade =  (51c9 )/ (52c10 )

b) probability that no card is ace of spade =  (52c10 - 51c9 )/ (52c10 )

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