SOLUTION: A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
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Question 492999: A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
• an even number ten or less given the card is a not a heart.
• a five given the card is a face card.
• an Ace, given that the card is red.
I am having trouble figuring out the process of coming up with the answers to these questions. could someone please show me how to work these problems out? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
• an even number ten or less given the card is a not a heart.
Ans = P(even <= 10 AND not heart)/P(not heart)
= (3*4/52)/(3/4)
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= (3/13)/(3/4)
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= 4/13
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• a five given the card is a face card.
Ans = P(5 and a face card)/P(face card) = (0/52)/(12/52) = 0
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• an Ace, given that the card is red.
Ans = P(ace and red)/P(red) = (2/52)/(26/52) = 1/13
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Cheers,
Stan H.
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