Q:

Under throwing a die one time, if the number 3 does not appear what is the probability of getting odd numbers?

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Under throwing a die one time, if the number 3 does not appear what is the probability of getting odd numbers?

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The sample space is S={1,2,3,4,5,6}
Let A be the event that number 3 does not appear
A={1,2,4,5,6}
And B is the event that odd numbers appear
B={1,3,5} ,then:
P(B│A)=(P(A∩B))/(P(A))
We have
A∩B={1,5}→P(A∩B)=2/6
P(A)=5/6
P(B│A)=(2/6)/(5/6)=2/5

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