If you want the probability of randomly drawing a red marble to be 3/5, you need to add 13 red marbles.
How many red marbles must be added?
The probability of drawing a red marble is equal to the quotient between the number of red marbles and the total number of marbles in the bag.
Initially, there are 12 red marbles and 32 in total, so if we add another x red marbles, we will have:
- 12 + x red marbles.
- 32 + x in total.
Then the probability will be:
p = (12 + x)/(32 + x)
And we want this to be 3/5, then we need to solve:
(12 + x)/(32 + x) = 3/5
(12 + x)*5 = 3*(32 + x)
60 + 5x = 96 + 3x
5x - 3x = 96 - 60
2x = 36
x = 36/2 = 13
x = 13
You need to add 13 red marbles.
Learn more about probability.
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