1. ## Probability Tree Diagram

I don't know how to draw the tree diagram for this.. so I can't answer the questions. Can someone direct me with how to draw the tree diagram, please!!

Here's the question:

A student sits three examinations in Physics, Chemistry and French. From past experience she estimates that the probability of passing Physics is 0.4. If she passes Physics the probability of passing Chemistry is 0.6, otherwise it is 0.3. Passing French is independent of her performance in the other two subjects and has a probability of 0.45.

a) Draw a tree diagram to represent this information.
b) Find the probability that she
i) passes all three subjects
ii) passes exactly one subject
iii) passes at least one subject.

Thank you!

2. Originally Posted by bhuang
I don't know how to draw the tree diagram for this.. so I can't answer the questions. Can someone direct me with how to draw the tree diagram, please!!

Here's the question:

A student sits three examinations in Physics, Chemistry and French. From past experience she estimates that the probability of passing Physics is 0.4. If she passes Physics the probability of passing Chemistry is 0.6, otherwise it is 0.3. Passing French is independent of her performance in the other two subjects and has a probability of 0.45.

a) Draw a tree diagram to represent this information.
b) Find the probability that she
i) passes all three subjects
ii) passes exactly one subject
iii) passes at least one subject.

Thank you!
Make the first two branches P (pass physics) and P' (does not pass physics). Then have two branches coming from each of those physics branches: C and C'. Then have two branches coming from each those chemistry branches: F and F'.