Step 1: Identify the total number of letters in the word "EXAMINATION". There are 11 letters in total.

Step 2: Identify the total number of vowels in the word "EXAMINATION". There are 5 vowels (E, A, I, A, O).

Step 3: Identify the total number of consonants in the word "EXAMINATION". There are 6 consonants (X, M, N, T, N).

Step 4: Calculate the probability of picking two consonants. This is done by dividing the number of ways to pick two consonants by the total number of ways to pick two letters.

The number of ways to pick two consonants is calculated as 6C2 = 15 (combination formula). The total number of ways to pick two letters is calculated as 11C2 = 55. So, the probability of picking two consonants is 15/55 = 0.2727.

Step 5: Calculate the probability of picking at least one vowel. This is done by subtracting the probability of picking two consonants from 1 (since the total probability of all events is 1).

So, the probability of picking at least one vowel is 1 - 0.2727 = 0.7273.

Question

Step 1: Identify the total number of letters in the word "EXAMINATION". There are 11 letters in total.

Step 2: Identify the total number of vowels in the word "EXAMINATION". There are 5 vowels (E, A, I, A, O).

Step 3: Identify the total number of consonants in the word "EXAMINATION". There are 6 consonants (X, M, N, T, N).

Step 4: Calculate the probability of picking two consonants. This is done by dividing the number of ways to pick two consonants by the total number of ways to pick two letters.

The number of ways to pick two consonants is calculated as 6C2 = 15 (combination formula). The total number of ways to pick two letters is calculated as 11C2 = 55. So, the probability of picking two consonants is 15/55 = 0.2727.

Step 5: Calculate the probability of picking at least one vowel. This is done by subtracting the probability of picking two consonants from 1 (since the total probability of all events is 1).

So, the probability of picking at least one vowel is 1 - 0.2727 = 0.7273.

Knowee AI · Accepted Answer

Step 1: Identify the total number of letters in the word "EXAMINATION". There are 11 letters in total.

Step 2: Identify the total number of vowels in the word "EXAMINATION". There are 5 vowels (E, A, I, A, O).

Step 3: Identify the total number of consonants in the word "EXAMINATION". There are 6 consonants (X, M, N, T, N).

Step 4: Calculate the probability of picking two consonants. This is done by dividing the number of ways to pick two consonants by the total number of ways to pick two letters.

The number of ways to pick two consonants is calculated as 6C2 = 15 (combination formula). The total number of ways to pick two letters is calculated as 11C2 = 55. So, the probability of picking two consonants is 15/55 = 0.2727.

Step 5: Calculate the probability of picking at least one vowel. This is done by subtracting the probability of picking two consonants from 1 (since the total probability of all events is 1).

So, the probability of picking at least one vowel is 1 - 0.2727 = 0.7273.

Two letters are chosen randomly from the word EXAMINATION. Find the probability that at least one letter chosen is a vowel.

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