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, and 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.
There are 120 marbles in the bowl, and 80 of them are black, and 28 are white. This means that the number of red marbles is:
120 - 80 - 28 = 12
So there are 12 red marbles in the bowl. Since Nicole is choosing a marble at random, the probability of her selecting a red marble is:
number of red marbles / total number of marbles
or
12 / 120
Simplifying this fraction gives:
1 / 10
So the probability of Nicole pulling a red marble out of the bowl is 1/10 or 0.1.
To find the probability of pulling a red marble out of the bowl, we need to determine the number of red marbles and the total number of marbles in the bowl.
Given that there are 80 black marbles and 28 white marbles in the bowl, we can subtract their total count from the total number of marbles (120) to find the number of red marbles:
Number of red marbles = Total number of marbles - (Number of black marbles + Number of white marbles)
Number of red marbles = 120 - (80 + 28)
Number of red marbles = 120 - 108
Number of red marbles = 12
So, there are 12 red marbles in the bowl out of a total of 120 marbles.
To express this as a probability, we divide the number of favorable outcomes (number of red marbles) by the total number of possible outcomes (total number of marbles):
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 = 1 / 10
Probability of pulling a red marble = 0.1 or 10% (in percentage form)