Two students Anil and Ashima appeared in an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. find the probability that: i.                Both Anil an Ashima will not qualify the exam ii.              At least one of them will not quality the exam iii.             Only one of them will qualify the exam.

Explanation

To solve the problem step by step, we will denote the events as follows:

- Let \( A \) be the event that Anil qualifies the examination.
- Let \( B \) be the event that Ashima qualifies the examination.

Given:
- \( P(A) = 0.05 \) (Probability that Anil qualifies)
- \( P(B) = 0.10 \) (Probability that Ashima qualifies)
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