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Answer:
The required probability is
Step-by-step explanation:
Total number of bottles = 50
Total number of water bottles = 30
Total number of lemon flavored water bottles = 8
Total number of tea bottles = 20
Total number of lemon flavored tea bottles = 5
<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em><em> Probability of selecting a lemon bottle out of water bottles.</em>
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<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em><em> Probability of selecting a lemon bottle out of tea bottles.</em>
Formula for probability of an event E can be observed as:
Probability of selecting a water bottle:
Probability of selecting a lemon flavored bottle from water bottle:
<em>Probability of selecting a lemon flavored water bottle = P(A)</em>
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Probability of selecting a tea bottle:
Probability of selecting a lemon flavored bottle from tea bottle:
<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>
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<em>The required probability is:</em>
<em>P(A) + P(B):</em>
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