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In: Statistics and Probability

A game consists of drawing cards from a well shuffled 52-card deck without replacement until an...

A game consists of drawing cards from a well shuffled 52-card deck without replacement until an ace
is not drawn.
(a) What is the probability that you draw an ace on the first card?
(b) What is the probability that you draw an ace on the fourth card?
(c) What is the probability that you draw an ace on the fifth card?
d) Suppose you have a bowl of 12 marbles, 6 of which are blue and the other 6 of which are red. You flip a coin. If it lands on heads, then you add 3 black marbles to the bowl. If it lands on tails, then you leave the bowl untouched. After this process, you draw a marble from the bowl at random. What is the probability that you draw a blue marble?

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