Question

You toss a pair of dice. (a determine the number of possible pairs of outcomes. you toss a pair of dice. (a determine the number of possible pairs of outcomes. you toss a pair of dice. (a determine the number of possible pairs of outcomes. what is the probability that both dice will show an even number?

Answer 1

(a) $^{6}C_1 * ^{6}C_1 = 36$ different possibilities
(b) $P(even die 1): \frac{1}{2}$
$P(even die 2): \frac{1}{2}$

So, there is a 1 in 4 chance that both dice will show an even.