Question

Probability of rolling exactly 2 odd numbers when a 6 sided die is rolled three times

Answer 1

Answer:

3/8

Step-by-step explanation:

Probability = Favorable Outcomes / Total Outcomes

There are 3 even numbers and e odd numbers.

P(Even Number) = 3/6 = 1/2

P(Odd Number) = 3/6 = 1/2

Probability it lands twice on an even number and once on an odd number = 1/2 * 1/2 * 1/2 = 1/8

What we must remember here is that the question does not say that the first 2 rolls are even and the 3rd roll is odd.

We must find the number of ways of getting Even, Odd Combinations which are 3!/2! = 3 (EEO, EOE, OEE)

The Required probability = 3 * 1/8 = 3/8