Vanessa, a research director, is conducting an experiment to determine the effectiveness of treatment for peach trees against blight. She randomly divides one grove's trees into three groups. One group is the control with no treatment for blight. She prunes the second group to remove the limbs showing blight after the spring rains. She prunes the third group as well and also sprays them with an antibiotic. Vanessa monitors the trees were monitored for five years after the start of the experiment. The following table shows the outcomes, or the counts of how long the trees in each group lived.   Treatment Outcomes None Pruning Antibiotic Totals 0 to 2 years 39 35 27 101 2 to 4 years 28 44 44 116 More than 4 years 13 25 51 89 Totals 80 104 122 306 What is the probability that a randomly selected tree from this experiment lived two to four years or was treated with an antibiotic?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Vanessa, a research director, is conducting an experiment to determine the effectiveness of treatment for peach trees against blight. She randomly divides one grove's trees into three groups. One group is the control with no treatment for blight. She prunes the second group to remove the limbs showing blight after the spring rains. She prunes the third group as well and also sprays them with an antibiotic. Vanessa monitors the trees were monitored for five years after the start of the experiment. The following table shows the outcomes, or the counts of how long the trees in each group lived.

  Treatment
Outcomes None Pruning Antibiotic Totals
0 to 2 years 39 35 27 101
2 to 4 years 28 44 44 116
More than 4 years 13 25 51 89
Totals 80 104 122 306


What is the probability that a randomly selected tree from this experiment lived two to four years or was treated with an antibiotic?

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