SOLUTION: A fair die is cast, a fair coin is tossed, and a card is drawn from a standard deck of 52 playing cards. Assuming these events are independent, what is the probability that the num

Algebra ->  Probability-and-statistics -> SOLUTION: A fair die is cast, a fair coin is tossed, and a card is drawn from a standard deck of 52 playing cards. Assuming these events are independent, what is the probability that the num      Log On


   



Question 246894: A fair die is cast, a fair coin is tossed, and a card is drawn from a standard deck of 52 playing cards. Assuming these events are independent, what is the probability that the number falling uppermost on the die is even, the coins shows a tail, and the card is a spade?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A fair die is cast, a fair coin is tossed, and a card is drawn from a standard deck of 52 playing cards.
Assuming these events are independent, what is the probability that the number falling uppermost on the die is even, the coins shows a tail, and the card is a spade?
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Prob = (3/6)(1/2)(13/52
= (1/2)(1/2)(1/4)
= 1/8
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Cheers,
Stan H.