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Probability and conditional probability SAT question

Math · Problem-Solving and Data Analysis · Medium · Answer it here, explanation included.

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 a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

The correct answer is $\frac{3}{10}$ . 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 $\frac{30}{100}$ , or $\frac{3}{10}$ . Note that 3/10 and .3 are examples of ways to enter a correct answer.

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