Four candidates A, B, C, D have applied for the assignment ot coach a school cricket team. If A is twice as likely to be selected as B, and B and C are given about the same chance of being selected, while C is twice as likely to be selected as D, what are the probability that (i) C will be selected ? (ii) A will not be selected?

Explanation

To solve the problem, we will define the probabilities of candidates A, B, C, and D based on the information given and then calculate the required probabilities.

### Step-by-Step Solution:

1. **Define Probabilities**:
- Let the probability of candidate B be \( P(B) = k \).
- Since A is twice as likely to be selected as B, we have:
\[
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