Experimental probability pp

HOOK

Sometimes it is not straightforward to work out the probability of an event. For example the probability of there being a rainbow tomorrow, a product being faulty or your toast landing butter side up if you drop it.

How would we find the probability of these events?

LEARNING INTENTION/GOALS

TO UNDERSTAND WHAT EXPERIMENTAL PROBABILITY MEANS

TO BECOME FAMILIAR WITH EXPERIMENTING WITH CHANCE

TO COMPARE EXPERIMENTAL AND ACTUAL PROBABILITY

SUCCESS CRITERIA

I UNDERSTAND WHAT EXPERIMENTAL PROBABILITY MEANS

I AM FAMILIAR WITH EXPERIMENTING WITH CHANCE

I CAN COMPARE EXPERIMENTAL AND ACTUAL PROBABILITY

Explicit Vocabulary A trial is one performance of an experiment

An experiment is a process allowing collections of information by performing trials

A successful trial is one that results in the desired outcome

The Experimental probability of an event is found by calculating an experiment and counting the number of times the event occurs and it is defined as:

pr (event) = Number of successful trials

Number of possible outcomes

Experimental Probability

Trousers

Blue Black Grey Orange

T-Shirt

Red

Blue

Black

White

From the sample space diagram, work out the probability of:

Wearing a blue t-shirt with orange trousers.

Wearing a white t-shirt with either blue or black trousers.

Not wearing a red t-shirt or grey trousers. Not wearing a blue t-shirt with orange

trousers.

Experimental Probability

Trousers

Blue Black Grey Orange

T-Shirt

Red

Blue

Black

White

From the sample space diagram, work out the probability of:

Wearing a blue t-shirt with orange trousers.

Wearing a white t-shirt with either blue or black trousers.

Not wearing a red t-shirt or grey trousers.

Not wearing a blue t-shirt with orange trousers.

1 16

1 8

9 16

15 16

Experimental Probability = Number of Favourable OutcomesTotal Number of Trials

5 heads, 5 tails

Experimental Probability

P(H) = = 0.6 6 10

P(T) = = 0.4 4 10

Does this mean the coin is unfair?

If I flip a coin 10 times how many heads and how many tails would I expect to see?

Experimental Probability

I have made some dice. It is your job to decide as a class whether the dice are fair or not.

Work in pairs to find the experimental probability of rolling each number on the dice.

Calculate the experimental probability after 10 trials as a decimal. Continue your investigation.

Car race 12 cars are having a race.

To move the cars roll two dice, find the total score and move that car forward 1 space.

Calculate the experimental probability of each car winning.

1 2 3 4 5 6 7 8 9 10 11 12

Car race Which car won the most races? Which car didn’t win any races? Why are some cars more likely to win than others?

Complete a sample space diagram for rolling 2 dice. Work out the theoretical probability of getting each number, how do your experimental results compare.

Car Race Look at all the possible combinations when rolling two dice:

2 3

3

4

4

4

5

5

5

5

6

6

6

6

6

7

7

7

7

7

7

8

8

8

8

8

9

9

9

9

10

10

10

11

11

12

Review My understanding of experimental probability is ……………………………………….