Mathematics 0580 · IGCSE · Probability of combined events
Probability of combined events — practice question
The sketch depicts two fair dice. The faces on dice $A$ are 0, 0, 1, 1, 1, 3. The faces on dice $B$ are 1, 1, 2, 2, 2, 3. For each roll, the score is the number shown on the upper face.
(a)[1]
Find the probability that the score is not 3.
(b)[2]
Find the probability that the score is 0 on both occasions.
(c)[1]
Calculate an estimate for the number of times the score is 0.
(d(i))[2]
Complete the possibility diagram.
(d(ii)(a))[1]
Find the probability that the product of the scores is 2.
(d(ii)(b))[1]
Find the probability that the product of the scores is greater than 3.
(e)[2]
Find the probability that this occurs on the 5th roll.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\frac{5}{6}$” …