SOLUTION: A card is selected from a standard deck of 52 playing cards. Find the probability of selecting:
1. not a nine given the card is a diamond.
2. a heart given the card is bla
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-> SOLUTION: A card is selected from a standard deck of 52 playing cards. Find the probability of selecting:
1. not a nine given the card is a diamond.
2. a heart given the card is bla
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Question 250672: A card is selected from a standard deck of 52 playing cards. Find the probability of selecting:
1. not a nine given the card is a diamond.
2. a heart given the card is black.
3. a six, given that the card is not red.
Show step-by-step work. Give all solutions exactly in reduced fraction from. Answer by solver91311(24713) (Show Source):
1. Given that the card is a diamond, you are guaranteed that the card is one of a set of 13 diamonds. One of those diamonds is a nine, the other 12 are not. Hence .
2. Given that the card is a black card, you are guaranteed that none of the cards is a heart. Therefore: 0
3. Given that the card is not red, you are guaranteed that the card is black. There are thirteen spades one of which is a six and thirteen clubs one of which is a six. There are two possible successes out of a total of twenty-six possibilities, hence
