Question

Help please!!
I have a question regarding probability. E.g. the question is like if Jack comes to crossroads, he can either go path A or path B. Probability he goes path A is 1/3. Jack comes to another crossroad. He can go either C or D. PRobabilty of picking C is 1/2
(values aren't right but just go along with it)
So what is the probability of him going along path a to c? Do i just take 1/2+1/3?

Answer 1

He has a probability of going down route b of 66% and route a of 33%.
He has a probability of going down route c or d 50%.

Answer 2

He is more likely to take route b to either c or d.
I want to guess and say 35% probability of take b-c and b-d
And 15% probability he will take a-c or a-d

Answer 3

Use a tree diagram for multi step probability.

Answer 4

You multiply as @mww shows in the tree diagram. If done correctly, all the probabilities of the possible outcomes will add up to 1.
\[\frac{ 1 }{ 6 }+\frac{ 1 }{ 6 }+\frac{ 2 }{ 3 }=1\]

Answer 5

wait so probability of him going from a to c would be like er..1/6?

Answer 6

https://akk.li/pics/anne/jpg

Answer 7

@mww

Answer 8

yep multi step is always multiply ALONG the branch. Different outcomes, say the probability of going A to C OR going A to D would be adding the probabilities BETWEEN branches

Answer 9

THANKS :D