The Student Room Group

S1 - Probability

Stuck with part C?

I got 0.4 for part A and 0.4 for part b?

I know that if independent P(A n B) = P(A) x P(B)?
But I don't seem to be able to work out the intersection so I am guessing I might have to set up another equation? Thanks in advance :smile:
Original post by Super199
Stuck with part C?

I got 0.4 for part A and 0.4 for part b?

I know that if independent P(A n B) = P(A) x P(B)?
But I don't seem to be able to work out the intersection so I am guessing I might have to set up another equation? Thanks in advance :smile:


You can either adapt the formula for P(A u B), using what you know of independence


or also use the fact that independence implies

P(A'nB) = P(A')P(B)

etc.
Reply 2
Original post by ghostwalker
You can either adapt the formula for P(A u B), using what you know of independence


or also use the fact that independence implies

P(A'nB) = P(A')P(B)

etc.

Never thought about it that way. That is a lot simpler!
Using the first method what is the formula for P(A U B) when it comes to independence?
Original post by Super199
Never thought about it that way. That is a lot simpler!
Using the first method what is the formula for P(A U B) when it comes to independence?


It doesn't change, but you can utilise the P(A n B) = P(A)P(B)

So,

P(A u B) = P(A) + P(B) - P(A)P(B) when you have independence. You know two of the values, so can work out the third.

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