Probability, a conditional probability and the probability of a union from a two-way table of travel methods
Probability, a conditional probability and the probability of a union from a two-way table of travel methods
6 marks
The table shows how the \(85\) students in Year \(10\) and Year \(11\) at a school usually travel to school. One of these students is chosen at random.
| Walk | Bus | Car | |
|---|---|---|---|
| Year \(10\) | \(14\) | \(18\) | \(11\) |
| Year \(11\) | \(12\) | \(21\) | \(9\) |
- Write down the probability that the student is in Year \(11\).[2]
- Write down the probability that the student walks to school, given that the student is in Year \(10\).[2]
- Find the probability that the student travels by car or is in Year \(11\), or both.[2]
Solution:
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Answer:(a) \(\dfrac{42}{85}\) (b) \(\dfrac{14}{43}\) (c) \(\dfrac{53}{85}\)
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