In: Statistics and Probability
Four cards are dealt from a deck of 52 cards.
(a) What is the probability that the ace of spades is one of the 4 cards?
(b) Suppose one of the 4 cards is chosen at random and found not to be the ace of spades. What is the probability that none of the 4 cards is the ace of spades?
(c) 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 4 cards?