SOLUTION: Dawing at least 1 spade in a series of 4 consecutive draws when the card is returned to the deck after each draw and the deck is reshuffled. What has confused me is that we only ne

Algebra ->  Probability-and-statistics -> SOLUTION: Dawing at least 1 spade in a series of 4 consecutive draws when the card is returned to the deck after each draw and the deck is reshuffled. What has confused me is that we only ne      Log On


   

Question 202517: Dawing at least 1 spade in a series of 4 consecutive draws when the card is returned to the deck after each draw and the deck is reshuffled. What has confused me is that we only need to get 1 spade in 4 draws.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Dawing at least 1 spade in a series of 4 consecutive draws when the card is returned to the deck after each draw and the deck is reshuffled. What has confused me is that we only need to get 1 spade in 4 draws.
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Note: P(no spade on a single draw) = (3/4)
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P(at least 1 spade in 4 draws) = 1 - P(no spades in 4 draws)
= 1 - (3/4)^4
= 1 - (81/256)
= 175/256
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Cheers,
Stan H.