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# Maths Probability S1 question?

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1. If someone could help me with this question and explain to me how you got it it would be a great help

At a certain location renowned for road accidents there is a 0.6 chance of there being an accident on a wet day and a 0.2 chance of there being an accident on a dry day. Long term records show that there is a 30% chance of the location having a day which is classified as wet. By first drawing a tree diagram, determine: a) the probability that there will be an accident at the location next Monday.
b) the probability that next Monday is a wet day if there is an accident at the location that day.

Many thanks!
2. For a) you wan't to find the probability that there is an accident regardless of weather, by drawing a tree diagram you could find the probability that there isn't an accident and do 1- this number (or just use values from question).
For b) use conditional probability, so P(Wet given accident), which can also be done using the tree diagram

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Updated: September 22, 2016
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