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A letter of the word ‘SECONDARY’ is selected at random. What is the probability that the letter selected is not a vowel? - Mathematics

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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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Chapter 22: Probability - Exercise 22A [Page 505]

APPEARS IN

Nootan Mathematics [English] Class 10 ICSE
Chapter 22 Probability
Exercise 22A | Q 19. | Page 505
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