| Date | May 2014 | Marks available | 3 | Reference code | 14M.1.sl.TZ1.7 |
| Level | SL only | Paper | 1 | Time zone | TZ1 |
| Command term | Complete | Question number | 7 | Adapted from | N/A |
Question
The probability that it snows today is 0.2. If it does snow today, the probability that it will snow tomorrow is 0.6. If it does not snow today, the probability that it will not snow tomorrow is 0.9.
Using the information given, complete the following tree diagram.
[3]
a.
Calculate the probability that it will snow tomorrow.
[3]
b.
Markscheme
(A1)(A1)(A1) (C3)
Note: Award (A1) for each correct pair of probabilities.
[3 marks]
a.
\(0.2 \times 0.6 + 0.8 \times 0.1\) (A1)(ft)(M1)
Note: Award (A1)(ft) for two correct products of probabilities taken from their diagram, (M1) for the addition of their products.
\( = 0.2{\text{ }}\left( {\frac{1}{5},{\text{ 20% }}} \right)\) (A1)(ft) (C3)
Note: Accept any equivalent correct fraction.
Follow through from their tree diagram.
[3 marks]
b.
Examiners report
[N/A]
a.
[N/A]
b.
Syllabus sections
Topic 3 - Logic, sets and probability » 3.7 » Use of tree diagrams, Venn diagrams, sample space diagrams and tables of outcomes.
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