1MA0 Higher June 2016 Paper 1 Q21
21 The probability that it will rain on a day in June is 0.2
When it rains the probability that my tennis match is cancelled is 0.7
When it does not rain, the probability that my tennis match is not cancelled is 0.95
(a) Complete the probability tree diagram for this information.
(b) Work out the probability that, on a day in June, it does not rain and my tennis match is cancelled. (2)
| Answer | Mark | Notes |
|---|---|---|
| 0.2; 0.7, 0.3 0.8; 0.05, 0.95 | 3 | B1 for 0.2, 0.8 oe B1 for 0.7, 0.3 oe B1 for 0.05, 0.95 oe |
| Answer | Mark | Notes |
|---|---|---|
| 0.04 | 2 | M1 for \(\text{``}0.8\text{''} \times \text{``}0.05\text{''}\) A1 oe |