SAT question 014c47ab (Probability And Conditional Probability)

Question

The table shows the distribution of two types of flowers at two different sites. If a flower represented in the table is selected at random, what is the probability of selecting a flower from site A, given that the flower is a tulip? (Express your answer as a decimal or fraction, not as a percent.)

College Board · Accepted Answer

The correct answer is 7/10,.7,.70,0.7. The correct answer is (35)/(50) . Based on the table, there are a total of 50 tulips, and 35 of these tulips are from site A. The probability of selecting at random a flower from site A, given that the flower is a tulip, is equal to the number of tulips from site A divided by the total number of tulips, which can be written as (35)/(50) , or 7/(10) . Note that 7/10, .7, .70, and 0.7 are examples of ways to enter a correct answer.

CookSAT · Answer

Note: Given that the flower is a tulip, divide Site A tulips by all tulips.

yuli · Answer

The question is worded very confusingly. Rather, it's asking if you selected a specific flower at random. Hence, out of the total number of that specific flower, what are the chances it's from site A in the bunch of tulips?

	Site A	Site B	Total
Tulip	$35$	$15$	$50$
Daffodil	$31$	$21$	$52$
Total	$66$	$36$	$102$

Explanation

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Student discussion

SAT Question 014c47ab: Probability And Conditional Probability answer and explanation with Desmos solution

Explanation

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Student discussion