Mathematics 4024 · O Level · Probability of combined events

Probability of combined events — practice question

Luca owns these two fair spinners. Spinner A shows 2, 4, 6, 8. Spinner B shows 1, 1, 3, 5.
(a(i))[1]

Luca spins both spinners and adds the two numbers to get his score. Complete the sample space diagram to show every possible score.

(a(ii))[2]

Find the probability that Luca’s score exceeds 10.

(b)[2]

Luca spins spinner A twice. He then multiplies the two numbers to get his score. Find the probability that his score is greater than 30.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Sample space table entries: sums in the rows/columns are 3,5,7,9 / 3,5,7,9 / 5,7,9,11 / 7,9,11,13

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI