Lecture 4

Qi Wang, Department of Statistics

Aug 28, 2017

- The first quiz will be on this
**Wednesday** - The first homework is due on
**September 8** - Class participation will account for
**2.3%**of the final score

- How to get the slides?
- Why \(P(A) = 1 - P(A^c)\)

- \[P(A|B) = \frac{P(A\cap B)}{P(B)}\]
- \[P(A\cap B) =P(B) \times P(A|B)\]
- The probability that Events A and B both occur is equal to the probability that Event B occurs times the probability that Event A occurs, given that B has occurred

A box contains 6 white balls and 4 red balls. We randomly (and without replacement) draw two balls from the box. What is the probability that the second ball selected is red?

Three cards are dealt successively at random and without replacement from a standard deck of 52 playing cards. What is the probability of receiving, in order, a king, a queen, and a jack?