Two dice are thrown simultaneously. The probability that the
product of the two numbers on the two dice is an even number is
(a) 1/2
(b) 3/4
(c) 5/16
(d) 3/8
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Answer Posted / william
(b) 3/4 because it is the probability that the product of the two dice is even therefor:
1(2)+1(4)+1(6),+2(1,2,3,4,5,6),+3(2)+3(4)+3(6),+4(1,2,3,4,5,6),+5(2)+5(4)+5(6),+6(1,2,3,4,5,6)= 27/36=3/4
P(2dice)=x/36
P(product is even)=27/36=3/4
odd*even=even we have 9 of these
even*even=even we have 18 of these 9+18=27
27 out of a total possible 36 yields 3/4
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