455

1. Mrs. Spruill walks into ISS and takes 3 students out of the 15 in there to help him in the cafeteria. How many possibilities are there for picking the 3 kids?

2. If she assigns jobs to each student where the first person has trash, the second sweeps, and the third puts up signs, how many possibilities are there?

2730

Benchmark #2-1

Which of the following is the graph of a cubic?

c

Benchmark #2-2The graph shows the path of a golf ball.

What is the range of the function?

b

a) 0<y<200 b) 0≤y ≤200

c) 0≤y ≤7 d) 0<y<7

Benchmark #2-3

Which of the following is NOT true of a parallelogram?

a) Any two opposite sides are congruent.

b) Any two opposite angles are congruent.

c) The diagonals bisect each other.

d) Any two consecutive angles are complimentary.

d

1) 70

2) 1

3) 1

4) 7

5) 1365

6) 120

7) 6

8) 6

9) 12,870

17) Combinations = 43,949,268

18) Permutations = 6,840

19) 30

Math IDay 51 (10-21-09)

UNIT QUESTION: How do you use probability to make plans and predict for the future?Standard: MM1D1-3

Today’s Question:When do I add or multiply when solving compound probabilities?Standard: MM1D2.a,b.

A compound event combines two or more events, using the word and or the word or.

If two or more events cannot occur at the same time they are termed mutually exclusive.

They have no common outcomes.

Overlapping events have at least one common outcome.

Lesson 6.4

For mutually exclusive events, the probability that one or the other of several events will occur is found by summing the individual probabilities of the events:

P(A or B) = P(A) + P(B)

A Venn diagram is used to show mutually exclusive events.

Mutually Exclusive Events

Example 1:

Find the probability that a girl’s favorite department store is Macy’s or Nordstrom.

Find the probability that a girl’s favorite store is not JC Penny’s.

Mutually Exclusive Events

Macy’s 0.25

Saks 0.20

Nordstrom 0.20

JC Pennys 0.10

Bloomingdale’s 0.25

0.45

0.90

Example 2:

When rolling two dice, what is probability that your sum will be 4 or 5?

Mutually Exclusive Events

7/36

Example 3:

What is the probability of picking a queen or an ace from a deck of cards

Mutually Exclusive Events

2/13

Probability that non-mutually exclusive events A and B or both will occur expressed as:

P(A or B) = P(A) + P(B) - P(AB)

Overlapping Events

Example 1:

Find the probability of picking a king or a club in a deck of cards.

Overlapping Events

4/13

Example 2:

Find the probability of picking a female or a person from Florida out of the committee members.

Overlapping Events

Fem Male

FL 8 4

AL 6 3

GA 7 3

21 12 8 25

31 31 31 31

Example 3:

When rolling 2 dice, what is the probability of getting an even sum or a number greater than 10?

Overlapping Events

18 3 1 20

36 36 36 36