1. Do Now
You roll a die and spinning a spinner numbered What is the probability of rolling an even number and landing on a power of 3 on the spinner? P(Even, Power of 3) =

2. Dependent, 28/253 or about 11%
Dependent, 3/38 or about 8%
Independent, 4/9 or about 44%
Independent, 64/289 or about 22%
9) Independent, 1/16 or about 6%
10) Independent, 5/6 or about 83%
11) Dependent, 5/46 or about 11%
12) Independent, 1/6 or about 17%
13) Dependent, 5/19 or about 26%
14) Independent, 24/841 or about 3%
19) P(red, blue) = 8/87 or about 9%
20) P(blue, yellow) = 16/145 or about 11%
21) P(yellow, not blue) = 42/145 or a bout 29%
22) P(red, not yellow) = 17/87 or about 20%
23) P(white, white) = 91/276 or about 33%
30) P(red, red, orange) = 125/5488 or about 2%

3. Mutually Exclusive Events

4. Mutually Exclusive Events
Events that cannot occur at the same time are called mutually exclusive events.
Ex: Drawing a heart or a diamond.

5. Compound Events P(A or B) = P(A) + P(B) – P(A and B)
Only applies when you have tow events that can occur at the same time.

6. Mutually Exclusive Events
You have a 10-sided die. The die is rolled. Find the probability of the following events.
P(4 or 8)
P(at least 4)

7. Not Mutually Exclusive Events
Ex: Draw a 2 or a diamond from a standard deck of cards—since it is possible to draw a card that is both a 2 and a diamond, these events are not mutually exclusive.

9. Example #4
You have a 10-sided die. The die is rolled. Find the probability of the following:
P(5 or an odd number)
B) P(odd or prime number)

10. Practice Using a standard deck of cards, find the probability of:
P(jack or a king)
P(jack or a spade)

11. Practice
Of 240 girls, 176 are on the Honor Roll, 48 play sports, and 36 are on the Honor Roll and play sports. What is the probability that a randomly selected student plays sports or is on the Honor Roll?

12. HW
Pg. 775 #5-8, Pg. 776 #15-18, 24-29, 31

13. 5) Mutually exclusive; 2/13 or about 15% 6) Mutually exclusive; ½ or about 50% 7) Not mutually exclusive; 4/13 or about 31% 8)Not mutually exclusive; 4/13 or about 31% 15) 16) 17) 18) 24) P(heart or spade) = ½ or 50% 25) P(spade or club) = ½ or about 50% 26) P(queen, then heart) = 4/221 or about 2% 27) P(jack, then spade) = 4/221 or about 2% 28) P(five, then red) = 25/663 or about 4% 29) P(ace or black) = 7/13 or about 54% 31) a) 345 b) 159 c) 227/345 or about 66% d) 2/23 or about 9%