SOLUTION: A bag contains 3 red beads and 5 yellow beads. One bead is removed at random then replaced. This is done three times in total. Find the probability that: a) Each bead is red b

Algebra ->  Probability-and-statistics -> SOLUTION: A bag contains 3 red beads and 5 yellow beads. One bead is removed at random then replaced. This is done three times in total. Find the probability that: a) Each bead is red b      Log On


   



Question 428698: A bag contains 3 red beads and 5 yellow beads. One bead is removed at random then replaced. This is done three times in total.
Find the probability that:
a) Each bead is red
b)Exactly two beads are red and one bead is yellow
c)At least one bead is red

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A bag contains 3 red beads and 5 yellow beads. One bead is removed at random then replaced. This is done three times in total.
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Find the probability that:
a) Each bead is red::(3/8)^3
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b)Exactly two beads are red and one bead is yellow
:::3C2(3/8)(5/8)^2 = 0.4395
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c)At least one bead is red::
1-P(all yellow) = 1-(5/8)^3
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Cheers,
Stan H.
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