Math Probability Flowers?

1. A study is run to investigate the association between flower color and fragrance in wild azaleas found in the Great Smoky Mountains. A 5-acre tract of mountain terrain was selected and found to contain 200 blooming plants. Each was classified both by color and by fragrance or absence of fragrance. The results are shown in the following table.



Fragrance White Pink Orange

Yes 12 60 58



No 50 10 10



Using the data from the table, approximate each of the following probabilities:



1. the probability that a randomly selected azalea has a fragrance

2. the probability that a randomly selected azalea is orange

3. the probability that a randomly selected azalea is orange and has a fragrance

4. the probability that a randomly selected azalea is orange given that it has a fragrance

5. the probability that a randomly selected azalea has a fragrance given that it is orange

Math Probability Flowers?
1) P(fragrance) = (12 + 60 + 58) / 200 = 130 / 200 = 0.65



2) P(orange) = (58+10)/200 = 0.34



3) P(orange and fragrance) = 58/200 = 0.29



4) P(orange | fragrance ) = P(orange and fragrance) / P(fragrance)

= 0.29 / 0.65

= 0.4461538



5) P(fragrance | orange) = P(orange and fragrance) / P(orange)

= 0.29 / 0.34

= 0.8529412

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