Maths Probability S1 question?

username2049777

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

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!

Reply 1

JN17

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