Recognising exhaustive outcomes
Recognising exhaustive outcomes.
- Probability = favourable outcomes ÷ all outcomes when individual outcomes are equally likely.
- A probability lies between 0 and 1; complementary probabilities sum to 1.
- Experimental relative frequency estimates probability and can vary between samples.
Example 1
A counter is selected from numbers 1 to 5. Event A contains [1, 3, 5]; event B contains [2, 4]. Are A and
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
Example 2
A counter is selected from numbers 1 to 6. Event A contains [1, 3, 5]; event B contains [2, 4]. Are A and
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
Your turn
A counter is selected from numbers 1 to 7. Event A contains [1, 3, 5, 7]; event B contains [2, 4, 6]. Are A and
Check answer
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
A counter is selected from numbers 1 to 8. Event A contains [1, 3, 5, 7]; event B contains [2, 4, 6]. Are A and
Check answer
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
A counter is selected from numbers 1 to 9. Event A contains [1, 3, 5, 7, 9]; event B contains [2, 4, 6, 8]. Are A and
Check answer
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
A counter is selected from numbers 1 to 10. Event A contains [1, 3, 5, 7, 9]; event B contains [2, 4, 6, 8]. Are A and
Check answer
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
A counter is selected from numbers 1 to 5. Event A contains [1, 3, 5]; event B contains [2, 4]. Are A and
Check answer
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
A counter is selected from numbers 1 to 7. Event A contains [1, 3, 5, 7]; event B contains [2, 4, 6]. Are A and
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
A counter is selected from numbers 1 to 8. Event A contains [1, 3, 5, 7]; event B contains [2, 4, 6]. Are A and
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
A counter is selected from numbers 1 to 9. Event A contains [1, 3, 5, 7, 9]; event B contains [2, 4, 6, 8]. Are A and
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
A counter is selected from numbers 1 to 10. Event A contains [1, 3, 5, 7, 9]; event B contains [2, 4, 6, 8]. Are A and
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.
A counter is selected from numbers 1 to 5. Event A contains [1, 3, 5]; event B contains [2, 4]. Are A and
Exhaustive events cover the entire sample space. Check for missing outcomes. Mutually exclusive means no overlap, which is a separate property.