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Asked Nov 7, 2019
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A bowl contains two red and three black marbles. A marble is randomly selected, its color
noted, and returned to the bowl. Let "success" be selecting a red marble. Use the binomial
probability formula to find the chance of selecting three red marbles in eight draws.
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A bowl contains two red and three black marbles. A marble is randomly selected, its color noted, and returned to the bowl. Let "success" be selecting a red marble. Use the binomial probability formula to find the chance of selecting three red marbles in eight draws.

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Expert Answer

Step 1

Given Data

No of red balls = 2

No of black balls = 3

Probability of success (p) = 2/5=0.4

No of draws (n)= 8

Probability of selecting 3 red marbles in e...

х -*) — () х р*x 1-ру"-*
(3) х 0.403 x (1 - 0.40)8-3
-> Р(X %3 3)
_
8!
х 0.403 x (1 — 0.40)8-3
3! x (8 3)
= 0.27869
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х -*) — () х р*x 1-ру"-* (3) х 0.403 x (1 - 0.40)8-3 -> Р(X %3 3) _ 8! х 0.403 x (1 — 0.40)8-3 3! x (8 3) = 0.27869

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