Tom and Victoria are two children who live in Canada. Consider the following de ned events
 Let T represent the event that Tom lives in Toronto.
 Let V represent the event that Victoria lives in Vancouver.
1. If Tom and Victoria are any two children in Canada, the events T and V are (check all
that are true):
A) Independent
B) Mutually Exclusive
C) Neither

2. If Tom and Victoria are siblings who live in the same house, the events T and V are
(check all that are true):
A) Independent
B) Mutually Exclusive
C) Neither

if you can put it into a good explanation that would help a lot, thanks.

micromass
Staff Emeritus
Homework Helper
What do you think the answers are?

Independent means: if you know that T is true, then this still gives you no information about whether V is true
For example: if T is "It rains today" and if V is "a child will be born today". If you know that T is true, that gives you no information about V at all.

mutually exclusive means: if you know T is true, then V can not be true.
For example: if T is "it rains today" and V is "it will be sunny all day".

What do you think the answers are?

Independent means: if you know that T is true, then this still gives you no information about whether V is true
For example: if T is "It rains today" and if V is "a child will be born today". If you know that T is true, that gives you no information about V at all.

mutually exclusive means: if you know T is true, then V can not be true.
For example: if T is "it rains today" and V is "it will be sunny all day".

I will pick Independant for the first one, then 2nd question i will pick mutually exclusive?

micromass
Staff Emeritus