# Sequences of Events 2

• Oct 4th 2008, 04:19 PM
Yan
Sequences of Events 2
Suppose that birthday of each of three people is equally likely to be any one of the 365 days of the year, independently of others. Let Bij denote the event that person I have the same birthday as person j, where the labels i and j may be 1, 2, or 3.

a)Are the events B12 and B23 independent?
b)Are the events B12, B23, and B13 independent?
c)Are the events B12, B23, and B13 pairwise independent?
• Oct 5th 2008, 01:41 AM
CaptainBlack
Quote:

Originally Posted by Yan
Suppose that birthday of each of three people is equally likely to be any one of the 365 days of the year, independently of others. Let Bij denote the event that person I have the same birthday as person j, where the labels i and j may be 1, 2, or 3.

a)Are the events B12 and B23 independent?
b)Are the events B12, B23, and B13 independent?
c)Are the events B12, B23, and B13 pairwise independent?

For the events A and B to be independent requires that:

p(A and B)=p(A)p(B)

So apply this to (a)

RonL
• Oct 5th 2008, 04:17 PM
Yan
Quote:

Originally Posted by CaptainBlack
For the events A and B to be independent requires that:

p(A and B)=p(A)p(B)

So apply this to (a)

RonL

I know what did you said, but can you talk about this question? Because I already saw the one you said on the book, but i don't get that. that's why i have to ask the question.