you roll a fair six-sided die twice. what is the probabilty of rolling an even number then rolling an odd number?

Probability of rolling an even number then rolling an odd number = 1/4

Step-by-step explanation:

When we roll a fair six-sided die twice,

The pair of combinations are

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(5,1), (6,2), (6,3), (6,4), (6,5), (6,6)

There are 36 possibilities

The odd numbers are 1,3 and 5

even numbers are 2,4 and 6

Possibilities of rolling an even number then rolling an odd number

(2,1), (2,3), (25)

(4,1), (4,3), (4,5)

(6,1), (6,3), (6,5)

There are 9 possibilities

Probability of rolling an even number then rolling an odd number = 9/36 = 1/4