Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
Suzanne owns 20 pairs of shoes, and some of them have designer labels. She has 6 pairs of high-heeled shoes, and 2 of those pairs have designer labels. She has 4 pairs of low-heeled shoes, and 1 pair of these has a designer label. The remaining pairs are sports shoes. In total, Suzanne has 8 pairs of shoes with designer labels.
(i)[2]
Copy the table below and complete it to show the number of pairs in each category.
(ii)[1]
Find the probability that she wears the pair of low-heeled shoes with designer labels.
(iii)[1]
Find the probability that she wears a pair of sports shoes.
(iv)[1]
Find the probability that she wears a pair of high-heeled shoes, given that she wears a pair of shoes with designer labels.
(v)[2]
State with a reason whether the events ‘Suzanne wears a pair of shoes with designer labels’ and ‘Suzanne wears a pair of sports shoes’ are independent.
(vi)[3]
Find the probability that Suzanne wears a pair of shoes with designer labels on at most 4 days out of the next 7 days.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Just one row or one column of the table is correct.” …