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Question
A letter of the word ‘SECONDARY’ is selected at random. What is the probability that the letter selected is not a vowel?
Sum
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Solution
Given: The word is ‘SECONDARY’ (total letters = 9). The vowels (A, E, I, O, U) that appear are E, O, A (3 vowels).
Step-wise calculation:
1. Total possible outcomes = 9 (each letter equally likely).
2. Number of vowels = 3 (E, O, A).
3. Number of non-vowels = 9 – 3 = 6.
4. Probability not a vowel = `"Favourable"/"Total"`
= `6/9`
= `2/3`
The probability that the letter selected is not a vowel is `2/3`.
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