Higher November 2022 Paper 1 Q10
10 Lina spins a biased 5-sided spinner 40 times.
Here are her results.
| Score | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Frequency | 6 | 8 | 9 | 7 | 10 |
Lina is now going to spin the spinner another two times.
(a) Work out an estimate for the probability that she gets a score of 5 both times. (2)
Derek is going to spin the spinner a large number of times.
(b) Work out an estimate for the percentage of times Derek can expect to get a score of 1 (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{1}{16}\) | M1 | for method to find probability of getting a score of 5, eg \(\dfrac{10}{6 + 8 + 9 + 7 + 10}\ \left(= \dfrac{10}{40}\right)\) oe |
| A1 | for \(\dfrac{1}{16}\) oe |
Additional guidance
Accept any equivalent fraction, decimal form 0.06(25) or 0.063, percentage form 6(.25)% or 6.3%
Ignore subsequent incorrect attempts to write the correct answer in a different form.
| Answer | Mark | Mark scheme |
|---|---|---|
| 15 | M1 | for method to find the proportion of 1s, eg \(\dfrac{6}{40}\) oe |
| A1 | cao |