SOLUTION: Bert and Ernie each have their own well-shuffled standard deck of 52 cards, from which they each draw one card from their own deck. Compute the probability that: Bert and Ernie

Question 1116117: Bert and Ernie each have their own well-shuffled standard deck of 52 cards, from which they each draw one card from their own deck. Compute the probability that:
Bert and Ernie both draw an Ace.
Bert draws an Ace but Ernie does not.
neither Bert nor Ernie draws an Ace.
Bert and Ernie both draw a heart.
Bert gets a card that is not a Jack and Ernie draws a card that is not a heart.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bert and Ernie each have their own well-shuffled standard deck of 52 cards, from which they each draw one card from their own deck. Compute the probability that:
Bert and Ernie both draw an Ace.:: (1/13)^2
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Bert draws an Ace but Ernie does not.:: (1/13)(12/13)
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neither Bert nor Ernie draws an Ace.::(12/13)^2
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Bert and Ernie both draw a heart.:: (1/4)^2
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Bert gets a card that is not a Jack and Ernie draws a card that is not a heart.
:: (12/13)(3/4)
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Cheers,
Stan H.
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