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A bag contains 5 apples and 7 oranges and another basket contains 4 apples and 8 oranges. One fruit is picked out from each basket. Find the probabili

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A bag contains 5 apples and 7 oranges and another basket contains 4 apples and 8 oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges. A. 24 144 B. 56 144 C. 68 144 D. 76 144 Select the correct answer from above options

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Correct Answer - C Consider the following events: Ai =Getting an apple from ith basket Oi = Getting an orange from ith basket Required probability =P((A1∩O2)∪(O1∩A2)) =P(A1∩O2)+P(O1∩A2) =P(A1)P(O2)+P(O1)P(A2)= 5 12 × 8 12 + 7 12 × 4 12 = 68 144

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