SOLUTION: A cereal maker places a game piece in each of it's cereAl boxes. The probablility of winning a prize is 1 in 4. Find the probablility that you a.) win your first prize on your four

Question 849464: A cereal maker places a game piece in each of it's cereAl boxes. The probablility of winning a prize is 1 in 4. Find the probablility that you a.) win your first prize on your fourth purchase. B.) win your prize with your first, second, or third purchase and c.) do not win a prize with your first four purchases.
Please show your work.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A cereal maker places a game piece in each of it's cereAl boxes. The probablility of winning a prize is 1 in 4. Find the probablility that you
a.) win your first prize on your fourth purchase.:::(3/4)^3(1/4) = 27/256
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B.) win your prize with your first, second, or third purchase
(1/4) + (3/4)(1/4) + (3/4)^2(1/4) = (16 + 12 + 9)/64 = 37/64
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c.) do not win a prize with your first four purchases.:: (3/4)^4 = 81/256
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Cheers,
Stan H.
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