1. x Probability - Independent Events B. Independent Events
A. Review: Probability of a single event
P(rolling a multiple of 3) =
P(not selecting a vowel in "MATH") =
B. Independent Events
Definition: if the outcome one event does not affect  
  the outcome of the second event
How do we find the probability of two events? x
_________
_________
(prob. of first event)
(prob. of second event)
What is the probability of getting a head and a 3 when rolling a
die and tossing a coin?

2. Sample Problems:
1.) You toss a coin twice. What's the probability of getting two tails?
P (T, T)
2.) You roll two dice. What's the
probability of getting 2 fives?
P (5, 5)

3. 3.) You roll a number cube once. Then you roll it again.
What is the probability that you get a 2 on the first
roll and a number greater than 4 on the second roll?
4.) You roll three dice. What's the
probability of getting 3 sixes?

4. a.) P(red, 3) = b.) P(not green, even) =
Blue
Yellow
5.) Find the probability if you spin the spinner and
roll the number cube.
a.) P(red, 3) =
b.) P(not green, even) =

5. S Q U A R E
6.) Replacement Problem - Find each probability if you select one tile from the word "SQUARE", replace it, then pick a second tile.
a.) P(vowel, vowel) =
b.) P(S, consonant) =

7. Demonstrate Understanding:
1.) Find the following probability when rolling 2 number 
cubes.
P(odd, even) =
2.) Find the probability of getting a heads and a number less 
than 3 when flipping a coin and rolling a die.
 P(H,# less than 3)
3.) What is the probability of selecting a vowel and a consonant 
when selecting two letters from the letters M R S P A T E K
with replacement?
 P(vowel, consant)

8. PEANUT BUTTER 1.) P(T,E) = 2.) P(P,B) 3.) P(P, consonant)
Find each probability if you select one letter from the 
letters "Peanut butter", replace it, then pick a second tile.
PEANUT BUTTER
1.) P(T,E) = 2.) P(P,B)
3.) P(P, consonant)
4.) P(vowel, vowel)