# Hard tree diagram word problem help

#1
Some of the children at the school arrive by car.
- 60% of the children at school are boys
- 20% of the boys arrive at school by car
- 60% of the girls at school arrive by car
What is the probability a child chosen at random at school arrives by car?

0
2 years ago
#2
Have you drawn the tree diagram?
0
#3
(Original post by nzy)
Have you drawn the tree diagram?
Yes but can you please tell me the workout as I am confused.
0
2 years ago
#4
If you've filled in the probabilities for each branch of the diagram, do you know how to calculate the probability that a chosen student is a boy who travels to school by car, for example?
0
#5
(Original post by nzy)
If you've filled in the probabilities for each branch of the diagram, do you know how to calculate the probability that a chosen student is a boy who travels to school by car, for example?
no
0
2 years ago
#6
Multiplying the probability along each branch of the diagram will give you the overall probability of that 'path'.
So, for a the student to be a boy who arrives at school by car, you'd need to multiply the probability that the student is a boy with the probability that a boy arrives by car.
1
2 years ago
#7
so you do not actually need to use a tree ? a 2 way table might be easier.

also you can choose a number for the total pupils....1000 is probably convenient ( it does not matter if it does not seem like a real world amount of pupils etc )
0
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