SOLUTION: A collection of 24 colored beads in a jar consists of just three colors in the ratio of 1:2:3. The probability of randomly selecting, without replacement, a blue bead on each of t

Question 218188: A collection of 24 colored beads in a jar consists of just three colors in the ratio of 1:2:3. The probability of randomly selecting, without replacement, a blue bead on each of the first two selections is 7/69 . How many blue beads were in the jar originally?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A collection of 24 colored beads in a jar consists of just three
ratio of 1:2:3. The probability of randomly selecting, without replacement, a blue bead on each of the first two selections is 7/69 . How many blue beads were in the jar originally?
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x + 2x + 3x = 24
6x = 24
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x = 4
2x= 8
3x= 12
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P(1st two selections) = (4/24)(3/23) = 1/46
P(1st two selections) = (8/24)(7/23) = 7/69
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So the number of blue beads is 8
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Cheers,
Stan H.
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