Suppose identical tags are placed on both the left ear and the right ear of a fox. The fox is then left loose for a period of time. Consider the two events C1 = { left ear tag is lost } and C2 = { right ear tag is lost }.  Let  π = P(C1) = P(C2), and assume C1 and C2 are independent events. Derive an expression (π ) for the probability that exactly one tag is lost, given that at most one is lost ( " Ear Tag Loss in Red Foxes," J. Wildlife Mgmt., 1976: 164-167). [ Hint : Draw a tree diagram in which the two initial branches refer to whether the left ear tag was lost.]

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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Suppose identical tags are placed on both the left ear and the right ear of a fox. The fox is then left loose for a period of time. Consider the two events C1 = { left ear tag is lost } and C= { right ear tag is lost }.  Let  π = P(C1) = P(C2), and assume Cand C2 are independent events. Derive an expression (π ) for the probability that exactly one tag is lost, given that at most one is lost ( " Ear Tag Loss in Red Foxes," J. Wildlife Mgmt., 1976: 164-167). [ Hint : Draw a tree diagram in which the two initial branches refer to whether the left ear tag was lost.]

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