Mathematics 4024 · O Level · Sets

Sets — practice question

Take $\mathcal{E}=\{x:x\text{ is an integer and }10\le x\le 20\}$, $A=\{x:x\text{ is an odd number}\}$, and $B=\{x:x\text{ is a multiple of }5\}$.
(a(i))[1]

Find the value of $n(A\cap B)$.

(a(ii))[1]

Find the set $A'\cup B$.

(a(iii))[1]

A number $r$ is chosen at random from $\mathcal{E}$. Find the probability that $r\in A\cup B$.

(b(i))[2]

Use a Venn diagram, or another method, to find the number of people who had read both a book and a newspaper.

(b(ii))[2]

Two of the 10 people who had read a book are selected at random. Work out the probability that they had both read a book and a newspaper.

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