Theory question 108
ProbabilityTwo fair dice are thrown together two times. Find the probability of obtaining a sum of seven in the first throw and a sum of four in the second throw.
Show the model answer
Model answer
P(sum 7) = 6/36 = 1/6; P(sum 4) = 3/36 = 1/12.
The throws are independent: 1/6 × 1/12 = 1/72.
Explanation
List the outcome pairs for each sum.