1MA0 Foundation March 2013 Paper 2 Q26
26 Here is a four sided spinner.
The spinner is biased.
The table shows the probabilities that the spinner will land on 1 or on 3
| Number | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Probability | 0.2 | 0.1 |
The probability that the spinner will land on 2 is the same as the probability that the spinner will land on 4
(a) Work out the probability that the spinner will land on 4 (3)
Shunya is going to spin the spinner 200 times.
(b) Work out an estimate for the number of times the spinner will land on 3 (2)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(1 - 0.2 - 0.1\) \(0.7 \div 2\) | 0.35 | 3 | M1 for correctly using total probability 1 or 100% if percentages used M1 (dep) for complete correct method to complete the solution A1 for 0.35 or 35% or \(\frac{35}{100}\) oe |
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(0.1 \times 200\) | 20 | 2 | M1 for \(0.1 \times 200\) A1 cao [SC: B1 for an answer of \(\frac{20}{200}\) if M0 scored] |