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Problem-Solving and Data Analysis / Probability and conditional probability Difficulty: Hard

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

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.)

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Explanation

The correct answer is $StartFraction 35 Over 50 EndFraction$ . 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 $StartFraction 35 Over 50 EndFraction$ , or $\frac{7}{10}$ . Note that 35/50, 7/10, and .7 are examples of ways to enter a correct answer.