PowerPoint Presentation

Todays Lesson:

What:

probability of compound events

Why:

To create and analyze tree diagrams; discover and use the fundamental counting principle; and use multiplication to calculate compound probability.

Vocabulary: Compound Probability- refers to probability of more than ____________ event.

Tree Diagram shows the total possible __________________ of an event.

Fundamental Counting Principle uses ____________ to determine the total possible outcomes when more than one event is combined.

Calculating Compound Probability may use a tree diagram OR may _________________ the first event TIMES the second event.

Compound Probability involves MORE than one event!oneoutcomesmultiplicationMULTIPLYTree Diagrams:

Tossing Two Coins:

Total Outcomes: _____

4Tossing Three Coins:

Total Outcomes: _____

HHTTTTHH8 3)Tossing One Coin and One Number Cube:

Total Outcomes: _____

HT12345612345612 4)Choosing a Sundae with the following choices (may only choose one from each category):Chocolate or Vanilla Ice cream Fudge or Caramel SauceSprinkles, Nuts, or Cherry Total Outcomes: _____

12Do we have to use a tree diagram?Is there a shortcut??Your turn to make a tree diagram . . .

Tossing two coins:

Tossing three coins:

3) Tossing one coin and one number cube:

Spinning a spinner with eight equal regions, flipping two coins, and tossing one number cube:Yes, there is . . . The Fundamental counting principle !We can multiply to determine the outcomes . . .4812192Multiply the outcomes for EACH event . . . 5) The total unique four-letter codes that can be created with the following letter choices (each letter can be used more than once)-- A, B, C, D, E, and F:

The total unique locker combinations for a four-digit locker code (using the digits 0 9):

Choosing from 12 types of entrees, 6 types of side dishes, 8 types of beverages, and 5 types of desserts:

8) Rolling two number cubes: 1,29610,0002,8803636,864 ways to dress a whataburger . . .Fundamental counting principle in action . . .

How??Think about it. The # of bread choices, times the # of meat choices, times the # of topping choices, times the # of sauce choices, etc., etc. It adds up fast!

TRIAL #1: Rolling Two Number CubesOut of 20 trials, how many times will doubles occur P(doubles)?1) What do we need to know?

# of doubles:____

total # of outcomes: ___

Theoretical Probability:

Do the experiment (20 trials):

4) Experimental Probability:(what should happen)(what actually happens)PROBABILITY TRIALS

636TRIAL #2 : Rolling a Number Cube and Flipping a CoinOut of 20 trials, how many times will heads and a # less than 3 occur P(heads and a # < 3)?

What do we need to know?

favorable outcomes: _____

total outcomes: _____

Theoretical Probability:

Do the experiment (20 trials):

4) Experimental Probability:(what should happen)(what actually happens)PROBABILITY TRIALS

212 Compound Probability sample questions:

When two coins are tossed, what is the probability of both coins landing on heads P (H and H) ?

2) When a number cube is rolled and the spinner shown is spun, what is the probability of landing on an even # and orange P(even # and orange) ?

P(1st Event ) x P(2nd Event) x= A card is drawn from a standard deck of cards and a letter is picked from a bag containing the letters M-A-T-H-E-M-A-T-I-C-S:

a) P(ace and a vowel) b) P(red card and a T)

A bag contains 3 grape, 4 orange, 6 cherry, and 2 chocolate tootsie pops. Once a pop is picked, it is placed back into the bag:

a) P(grape , then cherry)

b) P(two oranges in a row)

c) P(chocolate , then orange)

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow (entitled Practice Work) represent the homework assigned for that day.

Vocabulary: Compound Probability- refers to probability of more than _______________ event.

Tree Diagram shows the total possible _______________________ of an event.

Fundamental Counting Principle used to determine the total possible outcomes when ________________ than one event is combined.

Calculating Compound Probability may use a tree diagram OR may _________________the first event TIMES the second event.

Tree Diagrams:Tossing Two Coins:

Tossing Three Coins:

Compound Probability involves MORE than one event!Math-7 NOTESDATE: ______/_______/_______What: probability of compound events

Why: To create and analyze tree diagrams; discover and use the fundamental counting principle; and use multiplication to calculate compound probability.NAME:Total Outcomes: _____

Total Outcomes: _____

3)Tossing One Coin and One Number Cube:

Is there a shortcut? 4)Choosing a Sundae with the following choices (may only choose one from each category):Chocolate or Vanilla Ice cream Fudge or Caramel SauceSprinkles, Nuts, or Cherry Total Outcomes: _____

Total Outcomes: _____

Yes, there is . . . The Fundamental counting principle !We can multiply to determine the outcomes . . .

PROBABILITY TRIALS

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Math-7 homeworkprobability of compound eventsDATE: ______/_______/_______NAME:_____________________________________________________________________________

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Child 1

Child 2

Child 3

Child 4Math-7 Homeworkprobability of compound eventsDATE: ______/_______/_______NAME:_____________________________________________________________________________

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