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Given below are two statements in the context of throwing two different dice together:
Statement (I): The probability that the two numbers obtained have an even sum is 0.50.
Statement (II): The probability that the two numbers obtained have an even product is 0.75.
In light of the above statements, choose the most appropriate answer from the options given below.
Two numbers a,b can be either odd or even :
Statement A : (a+b)
odd + odd = even
even + even = even
even + odd = odd
odd + even = odd
Hence, the probability for summation being even = $$\dfrac{\ 2}{4}$$ = 0.5
Statement B : (ab)
odd x odd = odd
even x even = even
even x odd = even
odd x even = even
Hence, the probability for product being even = $$\dfrac{\ 3}{4}$$ = 0.75
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