6. Probability

6.01 Language and notation of probability

6.02 Review of probability fundamentals

6.03 Estimating probabilities

INVESTIGATION: Experimental probability and estimating Pi

6.04 Theoretical probability and compound events

6.05 Conditional probability and independent events

6.06 Independent events and data

6.07 Combinations

6.08 Combinations and Probability

INVESTIGATION: Pascal's triangle

6.09 Pascal's triangle and binomial expansion

Year 11

6.07 Combinations

Interactive practice questions

Evaluate $5!$5!

Easy

< 1min

Evaluate $4!6!$4!6!

Easy

< 1min

Find the value of $\frac{11!}{5!6!}$11!5!6!.

Easy

< 1min

Simplify $\frac{19!}{15!4!}$19!15!4! by identifying common factors of the numerator and denominator.

Easy

1min

Outcomes

1.3.1

understand the notion of a combination as a set of r objects taken from a set of n distinct objects

1.3.2

use the notation columnvector(nr) and the formula columnvector(nr)=n!r!(n−r)! for the number of combinations of r objects taken from a set of n distinct objects

What is Mathspace

About Mathspace