Mathematics 0580 · IGCSE · Probability of combined events

Probability of combined events — practice question

(a(i))[1]

Use set notation to give the shaded part of the Venn diagram.

(a(ii))[2]

Shade the appropriate region in each Venn diagram.

(b(i))[1]

Write down the probability that the letter on the selected card is not A.

(b(ii))[3]

Find the probability that exactly one card has the letter N.

(c(i))[2]

Fill in the Venn diagram.

(c(ii))[1]

Find the probability that this student likes English and likes mathematics.

(c(iii))[2]

Find the probability that they both like mathematics.

(c(iv))[2]

Two students who like English are selected at random. Find the probability that both of them also like mathematics.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: $A \cap B$

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