Question the-ta

3.5 Probability & Conditional Probability - Simple probability
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The table summarizes the distribution of color and shape for 100 tiles of equal area.

  Red Blue Yellow Total
Square 10 20 25 55
Pentagon 20 10 15 45
Total 30 30 40 100

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.)

Enter your answer:

The table summarizes the distribution of color and shape for 100 tiles of equal area. Red

Hard-difficulty · SAT Math · Probability & Conditional Probability — Simple probability. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 310. 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 30100, or 310. Note that 3/10 and .3 are examples of ways to enter a correct answer.