Christopher mixes the letters S, E, L, E, C, T, E, and D thoroughly. Without looking Allen draws one letter. Expressed as a fraction, decimal and percentage. What is the probability that Allen will not select a consonant?
• 3/8 0.375,37.5%
• 3/5 0.6,60%
• 5/8 0.625,62.5%.
• 1/2 0.5,50%
The vowels in the mix are E, E, and the consonants are S, L, C, T, and D. Therefore, there are a total of 5 consonants and 2 vowels in the mix. The probability of selecting a consonant is 5/7, and the probability of selecting a vowel is 2/7. The probability of not selecting a consonant (i.e. selecting a vowel) is 2/7.
Expressed as a fraction, this is 2/7.
As a decimal, this is approximately 0.286.
As a percentage, this is approximately 28.6%.
Therefore, the closest option is 3/8, which is 37.5% when expressed as a percentage. The correct answer is:
• 3/8 0.375, 37.5%