CS计算机代考程序代写 Conditional Probability

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