Higher June 2017 Unit 1 Q1
1. Ceri has a set of cards.
Each of her cards is labelled North, East, South or West.
The table below shows the probability distribution when a card is taken from the set of cards at random.
| Label | North | East | South | West |
|---|---|---|---|---|
| Probability | \(0{\cdot}4\) | \(0{\cdot}25\) | \(0{\cdot}2\) | \(0{\cdot}15\) |
(a) Ceri chooses one card at random from her set of cards.
What is the probability that the card is labelled East or South? [2]
What is the probability that the card is labelled East or South? [2]
(b) Sasha has an identical set of cards.
Ceri and Sasha each choose one card at random from their set of cards.
What is the probability that they both choose a card labelled North? [2]
Ceri and Sasha each choose one card at random from their set of cards.
What is the probability that they both choose a card labelled North? [2]
| Scheme | Marks | Comments |
|---|---|---|
| 0·25 + 0·2 | M1 | |
| = 0·45 or equivalent. | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| 0·4 × 0·4 | M1 | |
| = 0·16 or equivalent. | A1 |