Question

If one letter is chosen at random from the word TRUSTWORTHY what is the probability that the letter chosen is a consonant?

Answer 1

Given,

The word 'TRUSTWORTHY' is given.

To find,

We have to find the probability that the letter chosen is a consonant.

Solution,

The probability that the letter chosen is a consonant is 9/11.

We can simply find the probability by using the formula of probability

Probability = Favorable cases/ Total number of cases

Total number of letters in the word 'TRUSTWORTHY' = 11

Number of letters that are consonant  = 9

P ( of choosing a letter that is consonant) = 9/11

Hence, the probability that the letter chosen is a consonant is 9/11.

Answer 2

Answer:

Given,

The word 'TRUSTWORTHY' is given.

To find:

We have to find the probability that the letter chosen is a consonant.

Probability: Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty, broadly speaking.

Solution:

The probability of the chosen letter being a consonant is $\frac{9}{11}.$

Using the probability formula, we can quickly determine the probability.

$Probability = \frac{favourable cases}{Total no. ofcases}$

Total number of letters in the word 'TRUSTWORTHY' $=11$

Number of letters that are consonant  $=9$

P (of choosing a letter that is consonant) $=\frac{9}{11}.$

Hence, the probability that the letter chosen is a consonant is $\frac{9}{11}.$

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