1. What is the 5th term in the expansion of (2a + b)6?
Warm Up 9.2, Day 1
Expand.
What is the 5th term in the expansion of (2a + b)6?

2. Define and use probability (10.3)
Unit 9: Probability
Target 9.2, Day 1
Define and use probability (10.3)

3. Probability is the likelihood that an event will (or will not) occur.
Impossible
Certain
Probability of event A occurring
You roll a 6-sided fair die. Find the probability of…
a) Rolling a 5.
b) Rolling a prime number.

4. You’ve probably heard probabilities expressed as 3 : 1 odds or 50 to 1 odds at casinos sporting events before.
Odds are used to express probability as follows:
Odds in favor of event A =
Odds against event A =

5. You draw a card from a standard 52-card deck.
Find the odds in favor of drawing a 10.
Find the odds against drawing a club.
Find the probability of drawing a face card.

6. 0 points 2 points 5 points 10 points
We may also want to deal with geometric probability. These involve comparing the ___________ of figures.
In a carnival game, you have to throw a dart at the board shown. 3 18
0 points
2 points
5 points
10 points

7. What is the probability of getting a bulls eye?
What is the probability of getting no points?
What is the probability of hitting the yellow ring?

8. Warm Up 9.2, Day 2
Describe the difference between probability and odds. Use examples and/or equations in your explanation.
A bag contains 20 red marbles, 15 blue marbles and 12 purple marbles.
What is the probability of drawing a blue marble?
What are the odds in favor of drawing a red marble?
What are the odds against drawing a purple marble?

9. Find probabilities of disjoint and overlapping events (10.4)
Unit 9: Probability
Target 9.2, Day 2
Find probabilities of disjoint and overlapping events (10.4)

10. Today we will be looking at how to find the probability of two (or more) events occurring. Remember our rule of thumb: If you say “and,” __________. If you say “or,” __________.
A card is randomly selected from a deck of 52 cards. What is the probability that it is a…
a) 10 or face card?
b) face card or spade?
Think carefully about Scenario B! Why is it different than Scenario A?

11. Scenario A is said to be ______________ (or mutually __________) because the events do not have anything in common. In Scenario B, however, the events _________________ (cards may be both a face card and a spade).
Scenario A
Scenario B
When two events A and B overlap, “OR” does not equal “A + B”. We also have to __________________ the overlap/repeats.
“OR” = A + B – “AND”

12. A card is randomly selected from a deck of 52 cards
A card is randomly selected from a deck of 52 cards. What is the probability that it is a…
a) 10 or face card? d) a king and a heart?
b) face card or spade? e) a king or a heart?
c) face card and a 6? f) not a club?
In Part f, consider finding the probability that the card is a club. Then you could ___________________________. The probability of what you don’t want is called the ___________________.

13. Two dice are rolled. What is the probability that their sum is…
a) 7? d) between 3 and 5, inclusive?
b) less than or equal to 9? e) a prime or an even number?
c) not 10? 1 2 3 4 5 6

14. Out of 200 students in a senior class, 113 students are either in varsity athletics or on the honor roll. There are 74 seniors who are varsity athletes and 51 seniors who are on the honor roll. What is the probability that a randomly selected senior is both a varsity athlete and on the honor roll?
“OR” = A + B – “AND”

15. Warm Up 9.2, Day 3
Two dice are rolled. What is the probability that their sum is…
a) 3 or 4? b) not 7? c) less than 8 or greater than 11?
A card is randomly selected from a deck of 52 cards. What is the probability that it is a…
a) face card and black? b) jack or ace? c) red or 10?
Out of 30 plants in an experiment, 12 receive visible light, 15 receive ultraviolet light, and 6 receive both kinds of light. What is the probability that a plant receives visible light or ultraviolet light?

16. Find probabilities of independent and dependent events (10.5)
Unit 9: Probability
Target 9.2, Day 3
Find probabilities of independent and dependent events (10.5)

17. If you flip a coin and it comes up tails 30 times in a row, what is the probability that it will come up heads next?
If a family has 5 boys, what is the probability that their next child will be another boy?
These are examples of __________________ events. The probability of one event has absolutely no effect on another event.

18. A jar contains 5 red marbles, 10 blue marbles and 12 yellow marbles
A jar contains 5 red marbles, 10 blue marbles and 12 yellow marbles. What is the probability that…
a) you pull out a blue marble and then a yellow marble? Assume that you replace the first marble you draw.
b) you pull out a blue marble and then a yellow marble? Assume that you do not replace the first marble you draw.
Which scenario is independent and which is dependent? Explain.

19. Find the probability of drawing the given cards from a standard deck of 52 cards with and without replacement.
With Replacement
Without Replacement
A club, then a spade
A queen, then an ace
A face card, then a 6
A king, then a queen, then a jack
A spade, then a club, then another spade

20. Conditional probability is the probability of an event occurring, given that another event has already occurred.
Let n be a randomly selected integer from 1 to 20. Find the indicated conditional probability.
a) n is 2 given that it is even
b) n is 5 given that is it less than 8
c) n is prime given that is has 2 digits
d) n is odd given that it is prime