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In one throw of a dice, the result is an...

In one throw of a dice, the result is an even number. Find the probability that it is prime.

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In one throw of a dice, the sample space
`S={1,2,3,4,5,6}`
Let `A=` event of getting an even number `={2,4,6}`
and `B=` event of getting a prime number `={2,3,5}`
`:.AnnB={2}`
Now `P(B//A)=(P(BnnA))/(P(A))=(1//6)/(3//6)=1/3`
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