The table summarizes the distribution of color and shape for 100 tiles of equal area.If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.)
Correct answer: C. 3/10
- A. 7/10
- B. 5/10
- C. 3/10
- D. 9/10
Explanation
The correct answer is 3/10. It's given that there are a total of 100 tiles of equal area, which is the total number of possible outcomes. According to the table, there are a total of 30 red tiles. The probability of an event occurring is the ratio of the number of favorable outcomes to the total number of possible outcomes. By definition, the probability of selecting a red tile is given by 30/100, or 3/10. Note that 3/10 and .3 are examples of ways to enter a correct answer.
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About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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