Question

Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?

A)
1
12
B)
1
8
C)
1
4
D)
1
2

Answer 1

A) 1/12

Explanation:

The sample space of rolling a die is { 1,2,3,4,5,6}

P (getting 3)= The number of "3"'s in the sample space over the number of items in the sample space

P (getting a 3} = 1/6

P (getting even)= The number of evens in the sample space over the number of items in the sample space

P (getting an even} = 3/6= 1/2

Since these are independent events, we multiply the probabilities

P(3, even) = 1/6 * 1/2 = 1/12

Answer 2

a:1/12

Explanation:

The odds of a 3 is 1/6. The odds of an even is 1/2. 1/2*1/6=1/12. The answer is a:1/12