Identifying the correct conditional sample space Revision Card

AI generatedProbabilityGCSE Higher

Identifying the correct conditional sample space.

Identify the outcomes that are still possible after applying the condition.
Use the number or probability meeting both requirements in the numerator.
The denominator comes from the restricted sample space, not automatically the original total.

Example 1

The tree shows events A and . A result is known to be in B. Find .

The new sample space includes both routes ending in B.

Only the A then B route belongs in the numerator.

The tree shows events A and . A result is known to be in B. Find .

The new sample space includes both routes ending in B.

Only the A then B route belongs in the numerator.

Question 1

The tree shows events A and . A result is known to be in B. Find .

Check answer

The new sample space includes both routes ending in B.

Only the A then B route belongs in the numerator.

Question 2

The tree shows events A and . A result is known to be in B. Find .

Check answer

The new sample space includes both routes ending in B.

Only the A then B route belongs in the numerator.

Question 3

The tree shows events A and . A result is known to be in B. Find .

Check answer

The new sample space includes both routes ending in B.

Only the A then B route belongs in the numerator.

Question 4

The tree shows events A and . A result is known to be in B. Find .

Check answer

The new sample space includes both routes ending in B.

Only the A then B route belongs in the numerator.

Question 5

The tree shows events A and . A result is known to be in B. Find .

Check answer

The new sample space includes both routes ending in B.

Only the A then B route belongs in the numerator.