Anna mixes the letters S, E, L, E, C, T, E, and D thoroughly. Without looking, Mary draws one letter. Expressed as a fraction, decimal, and percentage, what is the probability that E will not be the letter Mary selects?
A. Start Fraction 3 over 8 End Fraction, 0.375, 37.5%
B. eight-fifths, 1.6, 16%
C. The fraction is 5 over 8., 0.625, 62.5%
D. Start Fraction 8 over 3 End Fraction, 2.667, 26.667%
We need to find the number of letters that are not E, and divide by the total number of letters.
There are a total of 7 letters, and 2 of them are E, which means there are 5 letters that are not E.
So the probability of Mary selecting a letter that is not E is 5/7.
Written as a fraction, this is 5/7. Written as a decimal, this is approximately 0.714. Written as a percentage, this is approximately 71.4%.
Therefore, the answer is not listed, but it is closest to option C: Start Fraction 5 over 8 End Fraction, 0.625, 62.5%.
Adam mixes the letters R, E, A, D, I, N, G, S, and A 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?
A. Start Fraction 9 over 5 End Fraction, 1.8, 18%
B. nine-fourths, 2.25, 22.5%
C. four-ninths, 0.444, 44.4%
D. start fraction 5 over 9 end fraction, 0.556, 55.6%
We need to find the number of letters that are not consonants (i.e., vowels), and divide by the total number of letters.
The vowels in the set are E, A, I, and the letter "A" appears twice, so the number of vowels is 4+1=5. The remaining consonants are R, D, G, and N.
So the probability of Allen selecting a vowel is 5/9.
Written as a fraction, this is 5/9. Written as a decimal, this is approximately 0.556. Written as a percentage, this is approximately 55.6%.
Therefore, the answer is Option D: start fraction 5 over 9 end fraction, 0.556, 55.6%.
To find the probability that E will not be the letter Mary selects, we need to determine the number of letters in the set that are not E (non-E letters) and divide it by the total number of letters.
In this case, there are 8 letters in total, and 2 of them are E. Therefore, there are 8 - 2 = 6 non-E letters.
The probability is given by the number of non-E letters divided by the total number of letters:
Probability = (Number of non-E letters) / (Total number of letters)
= 6 / 8
= 3 / 4
Expressed as a fraction, the probability is 3/4.
To express it as a decimal, we divide 3 by 4:
3 / 4 = 0.75
Expressed as a percentage, we multiply the decimal by 100:
0.75 * 100 = 75%
Therefore, the correct answer is:
C. The fraction is 5 over 8., 0.625, 62.5%