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In a random experiment of tossing two unbiased dice let E be the event of getting a sum 8 and F be the event of getting even numbers on both the dice then which of the following statement is true.
Statement I : $P (E) = \frac{7}{36}$
Statement II : $P (F) = \frac{1}{3}$

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bolk I and II are true

Neither I nor II is true

I is true II is false

I is false II is true

answer is B.

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Detailed Solution

Two unbiased dice are rolled

E= Event of getting a sum 8

E={(2,6)(3,5)(4,4)(5,3)(6,2)}

$P (E) = \frac{5}{36}$

F= Event of getting even numbers on both dice

n(F)=3(3) $P (F) = \frac{9}{36} = \frac{1}{4}$

Neither 1 nor II true

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