#### Transcript of Grade 11 IB Math Studies - 2. Probability

**Grade 12 IB Mathematical Studies**

**Probability**

Theoretical Probability:

Sample Space

Experimental Probability:

Using trials of an experiment to estimate probability of future outcomes

Number of Trials:

Number of times an experiment is repeated

Outcomes:

All possible results of the experiment

Frequency:

The number of times an outcome occurs

Relative Frequency:

Frequency divided by number

of trials

Investigation: Pin Toss

Experiment:

Tossing two pins simultaneously

Outcomes:

Both up

One up, one down

Both down

Big Idea:

MORE TRIALS = MORE ACCURATE

Probability that can be calculated exactly without experiments

P(A)

- the probability of event A happening

Probabilities can take values from 0 to 1, with 0 being and 1 being .

impossible

certain

P(A) =

successful outcomes

total possible outcomes

Example: P(A)

If you roll a six sided die, what is the probability of rolling an even number?

is the set of

all possible outcomes

Sample space

We have 4 ways to visually represent sample space:

Lists

2D Grids

Tree Diagrams

Venn Diagrams

Example: Sample Space

Represent the sample space of tossing a coin and rolling a die using:

a) a list

b) a 2D Grid

c) a Tree Diagram

PRACTICE

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