Question

When rolling a pair of dice, find the probability and odds of rolling a sum that is greater than 9 and odd.Write your answer in simplified form.Use the dash symbols "/" or "\" for expressing the probability as a fraction. Probability = Odds =

Answer 1

The sample space for the sum when rolling a pair of dice is;

We can see from the table, the sum that is greater than 9 and odd is just 11 and this occurs only twice out of 36 possible outcomes.

Thus, the probability of rolling a sum that is greater than 9 and odd. is;

`(2)/(36)=(1)/(18)`

To calculate the odds from the probability, we use the formula;

`Odds=(Prob.)/(1-Prob.)`

Inserting the probability, we have;

`Odds=(1)/(18)/(17)/(18)=(1)/(18)*(18)/(17)=(1)/(17)`

Thus, the

Probability = 1/18

Odds = 1 to 17 = 1/17