Suppose you and a friend are playing cards and you are each dealt 4 cards. You h
ID: 3354991 • Letter: S
Question
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 more 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 0.0123 0.00123 0.102 0.350 0.300
...............................................
Background playing card information: In a standard deck of playing cards there are 52 cards total.
There are 4 suits:
hearts diamonds spades clubs
Each suit has 13 values:
2 3 4 5 6 7 8 9 10 jack queen king ace
Explanation / Answer
a) as there are 44 cards remaining to be dealt and there is no ace in first 8 cards; therefore their remains 4 ace in 44 cards
hence probability that you are dealt an ace =4/44 =0.0909
b) given your friend has exactly one ace in her hand ; there remains 3 ace in 44 cards
hence probability that you are dealt an ace =3/44 = 0.0682