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.(4 points)
Math Short Answer Rubric (4 points)
Points Awarded Criteria
4
The answer is clear and correct.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained.
3
The answer is mostly correct. The student made small errors while solving.
The answer shows that the student used some problem-solving skills and reasoning.
Most work is shown or explained.
2
The answer is partially correct. The student made errors while solving.
The answer shows that the student used some problem-solving skills or reasoning.
Some work is shown or explained.
1
The answer is incorrect. The student made errors while solving.
The answer shows little problem-solving skills or reasoning.
Little or no work is shown.
0 The question is not answered.
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To find the probability of Nicole pulling a red marble out of the bowl, we first need to determine the total number of red marbles in the bowl.
There are 80 black marbles, 28 white marbles, and a total of 120 marbles in the bowl. So, the number of red marbles can be calculated as follows:
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
So, there are 12 red marbles in the bowl.
Now, we can calculate the probability of pulling a red marble out of 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
Probability of pulling a red marble = 0.1
Therefore, the probability that Nicole will pull a red marble out of the bowl is 0.1 or 10%.