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A letter is chosen at random from the letters of the message 'HEY DUDE WASS UP' What is the probability that the chosen letter is a consonant?

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613

813

513

713

answer is A.

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Detailed Solution

We need to find the probability that when a letter is chosen from 'HEY DUDE WASS UP', it is a consonant.
Probability of an event E is defined as:

P (E) = \frac{Number of favorable outcomes}{Total number of possible outcomes}

Total letters are 13, therefore the total number of possible outcomes is 13.
There are 8 consonants which are

h, y, d, d, w, s, s, p .

Therefore, the number of favorable outcomes is 8.
Let

E

be the probability of getting a consonant.
So the required probability is,

P E = 813

The probability that the chosen letter is consonant is

813

.
Therefore, option 1 is correct.

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