The universal set is $\mathcal{C} = \{1,2,3_toggle,4,5,6,7,8,9,10,11,12,13,14\}$. Set $F$ is defined by $F = \{x : x$ is a factor of 14$\}$. Set $P = \{x : x$ is a prime number less than 14$\}$.
(a(i))[2]
Write down the members of set $F$.
(a(ii))[2]
Write down the members of set $P$.
(a(iii)(a))[2]
Complete the missing parts of the Venn diagram.
(b)[1]
Write down the value of $n(F \cap P)$.
(c)[2]
Write down the probability that the chosen number belongs to $F \cup P$.
(d)[2]
Write down $195$ as a product of its prime factors.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “1, 2, 7 and 14” …