Engineering probability question

[skhanal1]

hello everyone, I had a multiple part question to a probability problem

Events A1, A2 and A3 are such that:
P[A1] = 3/10
P[A2|A1] = 6/10
P[A2|A1*]= 8/10
P[A3|A1 n A2] = 5/10
P[A3|A1* n A2] = 2/10
P[A3|A1 n A2*] = 7/10
P[A3|A1* n A2*] = 1/10

(i) Determine the probabilities of the eight events B1 n B2 n B3, where Bi = Ai or
Bi = Ai*, and mark them on the appropriate Venn diagram.
(ii) Determine P[A3].
(iii) What is the probability that exactly one of the events A1, A2 and A3 occurs?
(iv) What is the probability that two or more of the events A1, A2 and A3 occur?
(v) What is the conditional probability that all of the events A1, A2 and A3 occur, given
that two or more of them have occurred?

The '*' means complement and 'n' means intersection.

Appreciate any help.

 

[nvn]

Hi, skhanal1. You have not posted your attempt at a solution yet. The PF rules state, you must list relevant equations yourself, and show your work; and then someone might check your math.