5.04 Theoretical probability and compound events

Interactive practice questions

A standard six-sided die is rolled and then a coin is tossed.

Create a probability tree for this situation.

What is the probability of an even number and a head?

What is the probability of an even number, a head, or both?

Easy

3min

A standard six-sided die is rolled $358$ times.

Easy

< 1min

A person runs a marathon, and then falls ill from exhaustion. Are the events independent or dependent?

Easy

< 1min

A fair coin is tossed $600$ times.

Easy

< 1min

recall probability as a measure of ‘the likelihood of occurrence’ of an event

understand the notion of a conditional probability and recognise and use language that indicates conditionality

establish and use the formula 𝑃(𝐴∩𝐵) = 𝑃(A)𝑃(𝐵) for independent events 𝐴 and 𝐵, and recognise the symmetry of independence