Question

Match the given situations with their correct probabilities. Answers should be expressed as fractions in the simplest form. you roll two dice. what is the probability of rolling a sum of 8 or more? 4/13 1/51/42/37/525/122/13

Answer 1

5/12

Explanations:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

If you roll two dice, the total outcome will be 6^2 = 36

n(S) = 36

For an event of rolling a sum of 8 or more;

A = {(2, 6), (6, 2), (3, 5), (5, 3), (4, 4), (3, 6), (6, 3), (5, 4), (4, 5), (6, 4), (4, 6), (5,5), (6, 5), (5, 6), (6, 6)}

n(A) = 15

Pr(rolling a sum of 8 or more) = n(A)/n(S)

Pr(rolling a sum of 8 or more) = 15/36

Pr(rolling a sum of 8 or more) = 5/12

Hence the probability of rolling a sum of 8 or more is 5/12