Jerry mixes the letters F, P, M, M, M, F, P, and J thoroughly. Without looking, Amanda draws one letter. Expressed as a fraction, decimal, and percentage, what is the probability that J will not be the letter Amanda selects? (1 point)
seven-eighths, 0.875, 87.5%
The fraction is 5 over 8., 0.625, 62.5%
one-eighth, 0.125, 12.5%
The term shows 8 over 7., 1.14, 11.4%
The fraction of letters that are not J is 7/8. Expressed as a decimal and percentage, it is 0.875 and 87.5%. Therefore, the correct answer is:
seven-eighths, 0.875, 87.5%
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? (1 point)
Start Fraction 9 over 5 End Fraction, 1.8, 18%
nine-fourths, 2.25, 22.5%
four-ninths, 0.444, 44.4%
start fraction 5 over 9 end fraction, 0.556, 55.6%
To find the probability of not selecting a consonant, we need to first identify the consonants in the set of letters: R, D, N, G, and S. There are 5 consonants and 4 vowels (E, A, I, and another A).
Therefore, the probability of not selecting a consonant is the same as the probability of selecting a vowel, which is 4/9. Expressed as a decimal and percentage, it is 0.444 and 44.4%.
Therefore, the correct answer is:
four-ninths, 0.444, 44.4%
Suppose you have a drawer full of white, black, and yellow pairs of socks. If the probability of picking a white pair of socks is four-ninths, and the probability of picking a black pair of socks is
start fraction 7 over 18 end fraction, what is the probability of picking a yellow pair of socks? (1 point)
start fraction 1 over 6 end fraction
Start Fraction 5 over 12 End Fraction
Start Fraction 7 over 15 End Fraction
Start Fraction 16 over 27 End Fraction
The sum of the probabilities of picking a white, black, or yellow pair of socks must be 1. Therefore, we can find the probability of picking a yellow pair by subtracting the probabilities of picking white and black pairs from 1:
1 - 4/9 - 7/18 = 1 - 8/18 - 7/18 = 1 - 15/18 = 3/18
Simplifying 3/18 to lowest terms, we get 1/6.
Therefore, the probability of picking a yellow pair of socks is:
start fraction 1 over 6 end fraction