A letter is chosen from English alphabet then the probability of the letters being a vowel

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If a letter is chosen at random from the English alphabet, find probability that the letter chosen isi a vowel, andii a consonant

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Solution

There are 26 letters in the English alphabet, out of which there are 5 vowels and 21 consonants.(i) 526(ii) 2126

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Solution

The correct option is C 526 We know that - Probability = Number of favourable outcomesTotal numberof outcomes Total number of alphabets - A, B, C, D, E, F, G, H, I, J , K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y and Z = 26. Favourable number of outcomes - A, E, I, O and U = 5 P (letter being a vowel) = 526

What is the probability of getting a vowel from the letters of the word probability?

In this word we have four vowels, which is our favourable outcome. Therefore, the number of vowels in “PROBABILITY” = 4. Hence, the probability is $=\dfrac{4}{11}$. Therefore, if a single letter is selected at random from the word “PROBABILITY”, the probability that it is a vowel is $\dfrac{4}{11}$.

What is the probability that the letter selected is not a vowel?

P(getting not a vowel)=1−P(getting a vowel)=1−265=2621.

What is the probability that the first letter is a vowel?

There are 8 letters, three of them, e, o, and e, vowels and 5 of them, H, f, r, s, and h, consonants. The probability the first letter chosen is a vowel is 3/8.

When picking 1 letter from the English alphabet What is the probability of getting a consonant?

We have to determine the probability that the letter is a consonant. There are 26 English alphabets which consist of 5 vowels and 21 consonants. Therefore, the probability of choosing an alphabet that is a consonant is 21/26.