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Probability and conditional probability SAT question
Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.
| Color | Number |
| Red | 8 |
| Blue | 10 |
| Green | 22 |
| Total | 40 |
The table shows the number of different colors of marbles in a bag. If a marble is chosen at random from the bag, what is the probability that the marble will be blue?
ExplanationShow
Choice D is correct. If a marble is chosen at random from the bag, the probability of choosing a marble of a certain color is the number of marbles of that color divided by the total number of marbles in the bag. Since there are 10 blue marbles in the bag, and there are 40 total marbles in the bag, the probability that the marble chosen will be blue is 
.
Choices A, B, and C are incorrect. These represent the probability that the marble chosen won’t be blue (choice A), will be green (choice B), and won’t be green (choice C).
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