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
Algebra ->
Probability-and-statistics
-> 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
Log On
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?
------------------------------------------
x + 2x + 3x = 24
6x = 24
------
x = 4
2x= 8
3x= 12
----------
P(1st two selections) = (4/24)(3/23) = 1/46
P(1st two selections) = (8/24)(7/23) = 7/69
--------------------------------
So the number of blue beads is 8
======================================
Cheers,
Stan H.
(