6.3 Probability

Use probability language including outcomes, equal likelihood, events and randomness.

understand and use the probability scale P(certainty) = 1 P(impossibility) = 0

understand and use estimates or measures of probability from theoretical models

find probabilities from a Venn diagram

Understand sample spaces and events, and determine event probabilities from a sample space.

List outcomes systematically for single events and for two successive events.

estimate probabilities from previously collected data

calculate the probability of the complement of an event using P(A′) = 1 − P(A)

use the addition rule of probability for mutually exclusive events P(Either A or B occurring) = P(A) + P(B) when A and B are mutually exclusive

understand and use the term ‘expected frequency’ Determine an estimate of the number of times an event with a probability of 0.4 will happen over 300 tries

draw and use tree diagrams

determine the probability that two or more independent events will occur

use simple conditional probability when combining events Picking two balls out of a bag, one after the other, without replacement

apply probability to simple problems