Gambling with 4 dice, what is the probability of getting an even sum? Choose the most appropriate option
A) 3/4 B) 1/2 C) 2/3 D) 1/4 E) 1/3
Even sum can be obtained in following cases:   EEEE - one case. Each E can take 3 values (2, 4, or 6), so total for this case is 3^4;   OOOO - one case. Each O can take 3 values (1, 3, or 5), so total for this case is 3^4;   EEOO - 4!2!2!=64!2!2!=6 cases (EOEO, OOEE, ...). Each E can take 3 values (2, 4, or 6) and each O can also take 3 values (1, 3, or 5), so total for this case is 6*3^2*3^2=6*3^4   Total # of outcomes when throwing 4 dice is 6^4.   P=3^4+3^4+6∗3^4/6^4=1/2   Answer: 1/2.
<result>B</result>
Gambling with 4 dice, what is the probability of getting an even sum?