SOLUTION: A bag contains 100 pieces of candy. More than 50 are cherry, the rest are grape. 2 pieces are picked simultaneously. The probability of drawing two pieces of the same flavor is the

Algebra.Com
Question 1021467: A bag contains 100 pieces of candy. More than 50 are cherry, the rest are grape. 2 pieces are picked simultaneously. The probability of drawing two pieces of the same flavor is the same as the probability of drawing 2 pieces of different flavors. How many cherry flavored pieces are there?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let's say there are cherry candies.
Then there are grape candies.
The probability of choosing CC or GG is,



The probability of choosing CG or GC is,



So then make them equal to each other,





Two solutions but the question stipulated
So then,
<--- Cherry
<--- Grape

RELATED QUESTIONS

Five jars contain a total of 200 pieces of candy. How many pieces of candy are in each... (answered by CubeyThePenguin,greenestamps)
There are two candy jars, each of which contains the same number of pieces of candy.... (answered by stanbon)
There are two candy jars, each of which contains the same number of pieces of candy.... (answered by Theo)
five jars of candy contains a total of 1000 pieces of candy. each jar contains eight more (answered by rfer)
The probability of getting a red fruit candy from an assorted bag is 0.1. There are 50... (answered by stanbon)
A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces... (answered by Fombitz)
a bag contains 6 cherry, 3 orange, and 2 lemon candies. you reach in and take 3 pieces of (answered by stanbon)
a bag contains 12 pieces of candy, five of which are lemon drops. If you reach in and... (answered by malakumar_kos@yahoo.com)
in a bag of 40 mixed candies, 35 are hard candies, what is the probability of selecting 2 (answered by ewatrrr)