Exhaustive Outcomes

Exhaustive Outcomes

GCSE(F),

Events are exhaustiveif all possible outcomes have been included.

For a single event, they are exhaustive only if all possible outcomes have been considered.

When pairs of events are being considered, then the pairs of events must measure the same type of event and consider all possibilities.

Examples

1. A dice is thrown. Is rolling an even number and rolling a prime number exhaustive?

Answer: No

P(even) covers 2, 4, 6

P(prime) covers 2, 3, 5

1 is not included, and therefore the statement is not exhaustive.

2. A bias dice is thrown. Explain why does this not change the exhaustive events.

Answer: Exhaustive events must cover all possible outcomes: it does not specify the values or fairness of the outcomes.