SAT question e9ed719f (Probability And Conditional Probability)

Question

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.)

College Board · Accepted Answer

The correct answer is 3/10,.3,.30,0.3. 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, .3, .30, and 0.3 are examples of ways to enter a correct answer.

Explanation

Enter in Desmos:

SAT Question e9ed719f: Probability And Conditional Probability answer and explanation with Desmos solution

Explanation

Enter in Desmos: