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Let A, B, C, D, E are the 5 jockeys riding 5 horses in a horse race. The probability distribution of their winning is tabulated as

 Jockey Name A B C D E Probability 1/4 1/6 1/3 1/12 1/6

Mr.Pintraj has placed his bet on A and D. What is the probability that Pintraj may win is

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$0.135$ ?
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Pint A or D win =P(A)+P(D)   [Mutual exclusion]

=1/4 + 1/12

=1/3

this is what the solution says in the test series and hence i am confused as to how is this valid ?