5 Suzanne has 20 pairs of shoes, some of which have designer labels. She has 6 pairs of high-heeled shoes, of which 2 pairs have designer labels. She has 4 pairs of low-heeled shoes, of which 1 pair has designer labels. The rest of her shoes are pairs of sports shoes. Suzanne has 8 pairs of shoes with designer labels in total.
- Copy and complete the table below to show the number of pairs in each category.
| Designer labels | No designer labels | Total |
| High-heeled shoes | | | |
| Low-heeled shoes | | | |
| Sports shoes | | | |
| Total | | | 20 |
Suzanne chooses 1 pair of shoes at random to wear. - Find the probability that she wears the pair of low-heeled shoes with designer labels.
- Find the probability that she wears a pair of sports shoes.
- Find the probability that she wears a pair of high-heeled shoes, given that she wears a pair of shoes with designer labels.
- 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.
Suzanne chooses 1 pair of shoes at random each day.
- Find the probability that Suzanne wears a pair of shoes with designer labels on at most 4 days out of the next 7 days.