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.
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There are two methods to solve this problem.
Method 1: Subtract the number of black and white marbles from the total, then divide by the total number of 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 = 12
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%
Method 2: Divide the number of red marbles by the 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 = 0.1 or 10%
Either method gives us a probability of 0.1, or 10%, that Nicole will pull a red marble out of the bowl.
To determine the probability of Nicole pulling a red marble, we first need to find out how many red marbles are in the bowl.
Given that there are 80 black marbles, 28 white marbles, and a total of 120 marbles, we can calculate that the number of red marbles is:
Number of red marbles = Total 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.
The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the favorable outcome is pulling a red marble, and the total number of possible outcomes is pulling any marble from the bowl.
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
Therefore, the probability of Nicole pulling a red marble out of the bowl is 1/10 or 0.1, which can also be expressed as 10%.