nsStx4 4P/012 Cards: Suppose you and a friend are playing cards and you are each

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nsStx4 4P/012 Cards: Suppose you and a friend are playing cards and you are each dealt 4 cards. You have a 10, jack, queen, and king in your hand. You are about to be dealt one nm card. What is the probability that you are dealt an ace given the following? Round your answers to 3 significant digits. (a) your friend has no aces in her hand (b) your friend has exactly one ace in her hand "significant Digits: Here are some probabilities expressed to 3 significant digits. You start counting digits from left to right starting with the first non-zero digit. 0.123 0.01230.00123 0.102 0.35O 0.300 Background playing card information: In a standard deck of playing cards there are 52 cards total There are 4 suts: hearts- diamonds . spades . dubs . Each suit has 13 values: 2 3 4 5 678 910 jack queen king ace Additional Materials

Explanation / Answer

Total 8 cards are already dealt. So, 44 cards are remaining in the deck

a) When your friend has no aces in hand, number of aces in deck = 4

So, P(you are dealt an ace) = 4/44 = 0.0909

b) Whyen your friend has exactly one ace in hand, number of aces in deck = 3

So,  P(you are dealt an ace) = 3/44 = 0.0682

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