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 statements is true
Statement-I : P(E) = 7/36
Statement-II : P(F) = 1/3

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I is true, II is false

I is false II is true.

both I and II are true

neither I nor II is true

answer is B.

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Detailed Solution

two dice thrown

E=getting sum $= \{(2, 6) (6, 2) (3, 5) (5, 3) (4, 4)\}$

F=getting even both dice

$\begin{array}{rcl} = & {(2, 2) (2, 4) (2, 6) (4, 2) (4, 4) (4, 6) \\ (6, 2) (6, 4) (6, 6)} \\ P (E) & = & \frac{5}{36} P (F) = \frac{9}{36} = \frac{1}{4} \end{array}$

both Statements false

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