Intermediate November 2024 Unit 2 Q5
5. Megan has the following 7 playing cards.
She turned these cards face down.
Megan then chose a card at random and recorded the number.
(a) What is the probability that Megan recorded the number 5?
Circle your answer. [1]
Circle your answer. [1]
\(\dfrac{5}{7}\) \(\dfrac{1}{7}\) 1 5 \(\dfrac{7}{5}\)
(b)
(i) What is the probability that Megan recorded a square number?
Circle your answer. [1]
Circle your answer. [1]
\(\dfrac{2}{5}\) \(\dfrac{1}{7}\) \(\dfrac{2}{7}\) \(\dfrac{4}{7}\) \(\dfrac{4}{5}\)
(ii) Megan chooses a card at random 91 times.
How many times would you expect Megan to record a square number?
You must show all your working. [2]
How many times would you expect Megan to record a square number?
You must show all your working. [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{1}{7}\) | B1 |
| Scheme | Marks | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| (i) \(\dfrac{2}{7}\) | B1 | |||||||||
| (ii) \(\dfrac{2}{7}\) × 91 | M1 | May be seen in stages. FT ‘their (b)(i)’. | ||||||||
| 26 | A1 | Allow ’26 out of 91’ for M1A1. Award M1A0 for a final answer of \(\dfrac{26}{91}\). Allow truncated or rounded answers if following through ‘their (b)(i)’. Note:
|