Geometry

Question Analysis
This question involves using a tree diagram to calculate the probability of a specific event within a two - step process related to archery shots.
The main focus is on identifying the correct path in the tree diagram that leads to hitting the inner ring and multiplying the probabilities along that path.

Key Concept Explanation
In a tree diagram, the probability of a particular outcome is found by multiplying the probabilities of the events along the branch that leads to that outcome.
For sequential events, the probability of the combined event is the product of the probabilities of each individual event in the sequence.

Step - by - Step Solution
First, identify the probability of hitting the target: The probability of hitting the target is 1/2.
Then, given that the target is hit, identify the probability of hitting the inner ring: Given the target is hit, the probability of hitting the inner ring is 4/5.
Multiply the two probabilities to find the proba...