SAT question d89c1513 (Probability And Conditional Probability)

Question

On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?

College Board · Accepted Answer

The correct answer is D. Choice D is correct. The total number of gas station customers on Tuesday was 135 . The table shows that the number of customers who did not purchase gasoline was 50 . Finding the ratio of the number of customers who did not purchase gasoline to the total number of customers gives the probability that a customer selected at random on that day did not purchase gasoline, which is (50)/(135) .

CookSAT · Answer

Note: The expression 50/135 directly computes the probability from the table's row total for "Gasoline not purchased" and the grand total.

	Beverage purchased	Beverage not purchased	Total
Gasoline purchased	$60$	$25$	$85$
Gasoline not purchased	$35$	$15$	$50$
Total	$95$	$40$	$135$

Explanation

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Why the other choices are wrong

SAT Question d89c1513: Probability And Conditional Probability answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong