Question

Jack rolls 6 sided number cube labeled 1-6 twice. to the nearest hundredth, what is the probability that the first roll is 4 and the second roll is an even number

Answer 1

The probability is 0.08.

The probability that the first roll is a 4 is 1/6, since there is one 4 out of six total possibilities.
The probability that the second roll is an even number is 3/6, since there are 3 even numbers out of 6 possibilities.

Together, we have 1/6(3/6) = 3/36 = 0.08

Answer 2

$|\Omega|=6^2=36\\ |A|=1\cdot3=3\\\\ P(A)=\dfrac{3}{36}=\dfrac{1}{12}\approx8.3\%$