Question

The odds against an event are 1 : 3 and the odds in favor of another independent event are 2 : 5. Find the probability that one of the event will occur.Required to answer. Single choice.

(2 Points)

5/14

19/28

9/14

17/28

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Answer 1

Answer:

Let A and B be the events. Then, 

P(A)=2+52=72 and P(B)=6+56=116

∴ P(Aˉ)=1−72=75 and P(Bˉ)=1−116=115 

∵ both the events are independent

  Required probability =P(A∪B)=1−P(Aˉ∩Bˉ)

                                                             

                                                             =1−P(Aˉ)P(Bˉ)

                                                             =1−115×75=7752