Quiz 1 Solutions

# Quiz 1 Solutions - C C C A B A B 1 C P A P A | P A B P A B...

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Unformatted text preview: ( ) C C C A B A B ( ) 1 ( ) C P A P A ( ) ( | ) ( ) P A B P A B P B ( ) C C C A B A B ( ) ( ) ( ) ( ) P A B P A P B P A B ( ) ( )* ( | ) P A B P B P A B Stat 225 - Quiz 01 Name ________________________________________ Spring 2012 You have 10 minutes to complete the problem below. Show sufficient work to receive full credit. You must work on the problem you are given: trading quiz sheets will result in a 0 for both parties. If a decimal answer is not exact, please round to 4 decimal places. 1. These questions will pertain to a standard deck of cards which contains 13 face values and 4 suits (each of the 13 face values are in each of the 4 suits) for a total of 52 cards. Consider a sample of size 2 where sampling is done without replacement. a) Find the probability that the cards come as ace of spades then king of spades. (3 points) P(Ace of Spaces then King of Spades) = P(AS)*P(KS |AS) = 1/52 * 1/51 = .0004 b) Find the probability that the cards come as an ace and then a king. (4 points) P(Ace then King) = P(A)*P(K |A) = 4/52*4/51 = .0060 (Or note that this is 4*4*answer from part a) c) Find the probability that you have at least 1 ace. (6 points) 1-P(no aces) = 1 - 48/52*47/51 = .1493. d) Knowing that you have 2 aces, what is the probability that they are both the same color? (7 points) There are 6 different pairs of aces. There are only 2 ways they are the same color. The answer is .3333. ( ) C C C A B A B ( ) 1...
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Quiz 1 Solutions - C C C A B A B 1 C P A P A | P A B P A B...

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