A letter is chosen from the letters of the word $D I C T I O N A R Y$ . Find the probability that the letter chosen is not a consonant.

\frac{3}{5}

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\frac{3}{10}

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\frac{7}{10}

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\frac{2}{5}

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Solution

The correct option is D $\frac{2}{5}$
Total no. of letter in the word,n(S)=10
The favorable outcomes are $= (I, I, O, A)$
$\Rightarrow$ Total number of favorable outcomes,n(E) =4
$∴ P r o b a b i l i t y = \frac{n (E)}{n (S)} = \frac{4}{10} = \frac{2}{5}$

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A letter is chosen from the letters of the word DICTIONARY. Find the probability that the letter chosen is not a consonant.

The correct option is D 25Total no. of letter in the word,n(S)=10The favorable outcomes are=(I,I,O,A)⇒Total number of favorable outcomes,n(E) =4∴Probability=n(E)n(S)=410=25

A letter is chosen from the letters of the word $D I C T I O N A R Y$ . Find the probability that the letter chosen is not a consonant.

The correct option is D $\frac{2}{5}$
Total no. of letter in the word,n(S)=10
The favorable outcomes are $= (I, I, O, A)$
$\Rightarrow$ Total number of favorable outcomes,n(E) =4
$∴ P r o b a b i l i t y = \frac{n (E)}{n (S)} = \frac{4}{10} = \frac{2}{5}$