Nicole pulls a colored marble out of a bowl, choosing the marble at random. There are 120 marbles in the bowl, of which 80 are black, 28 are white, and the rest are red. Use words and numbers to describe the probability that she will pull a red marble out of the bowl. Show your work and make the anwser quick and consice
The number of red marbles in the bowl is 120 - 80 - 28 = 12. Therefore, the probability of Nicole pulling a red marble out of the bowl is 12/120 or 1/10, which can also be expressed as 0.1.
To find the probability of pulling a red marble, we need to know the number of red marbles in the bowl. Given that there are 120 marbles in total, 80 of them are black, and 28 are white, we can subtract the sum of black and white marbles from the total to find the number of red marbles:
Total marbles = Black marbles + White marbles + Red marbles
120 = 80 + 28 + Red marbles
Rearranging the equation to solve for Red marbles:
Red marbles = 120 - (80 + 28)
Red marbles = 120 - 108
Red marbles = 12
Now that we know there are 12 red marbles, we can calculate the probability:
Probability of pulling a red marble = Number of red marbles / Total number of marbles
Probability of pulling a red marble = 12 / 120
Probability of pulling a red marble = 0.1 or 10%
Therefore, the probability of Nicole pulling a red marble out of the bowl is 10%.