SOLUTION: A standard deck of cards has four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards composed of: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king. Hearts and

Algebra ->  Probability-and-statistics -> SOLUTION: A standard deck of cards has four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards composed of: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king. Hearts and       Log On


   



Question 449244: A standard deck of cards has four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards composed of: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king. Hearts and diamonds are red; clubs and spades are black. If one card id randomly selected,
a) What is the probability that the card is red, given that the card selected is a heart?
b) What is the probability that the card selected is neither an ace nor a jack?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A standard deck of cards has four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards composed of: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king. Hearts and diamonds are red; clubs and spades are black. If one card is randomly selected,
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a) What is the probability that the card is red, given that the card selected is a heart?
P(red | heart) = 1
Why? All hearts are red.
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b) What is the probability that the card selected is neither an ace nor a jack?
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P(not ace and not jack)
There are 4 aces and there are 4 jacks
That leaves 44 cards that are not ace and not jack.
Ans: 44/52 = 11/13
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Cheers,
Stan H.