Conditional Probability
The Definition – Illustrated
The Definition – Illustrated
The Definition – Illustrated
Example
Consider rolling a standard die. What is the sample space?
If 𝐸𝐸 is the event of rolling an even number, what is 𝐸𝐸?
What is the probability of rolling a multiple of 3?
What is the probability of rolling a multiple of 3 given that you rolled an even
number?
Examples
Flip two coins; a nickel and a dime.
If the dime comes up heads, what is
the probability that the nickel
comes up heads?
Flip two coins; a nickel and a dime.
If you know one of them comes up
heads, what is the probability that
the other one is also heads?
Independence
Independence
Example
Repeated Experiments
Repeated Experiments
Repeated Experiments