Hey Bot, Can you help with math? It's a lot of questions
Sure! I'd be happy to help you with your math questions. What do you need help with?
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?
A. seven-eighths, 0.875, 87.5%***
B. The fraction is 5 over 8., 0.625, 62.5%
C. one-eighth, 0.125, 12.5%
D. The term shows 8 over 7., 1.14, 11.4%
You are correct! The probability of selecting J is 1/8. The probability of not selecting J is 1 - 1/8 = 7/8.
Expressed as a fraction, the probability that J will not be selected is 7/8.
As a decimal, it is 0.875.
As a percentage, it is 87.5%.
So the correct answer is A. Seven-eighths, 0.875, 87.5%.
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?
A. three-eighths, 0.375, 37.5%
B. start fraction 3 over 5 end fraction, 0.6, 60%
C. start fraction 5 over 8 end fraction, 0.625, 62.5%
D. one-half, 0.5, 50%
The consonants are S, L, C, T, and D. There are five consonants in the set. The remaining three letters are vowels, which Allen does not want to select.
The probability of Allen selecting a consonant is 5/8.
The probability of Allen not selecting a consonant (i.e., selecting a vowel) is 1 - 5/8 = 3/8.
Expressed as a fraction, the probability is 3/8.
As a decimal, it is 0.375.
As a percentage, it is 37.5%.
Therefore, the correct answer is A. Three-eighths, 0.375, 37.5%.
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?
A. start fraction 1 over 6 end fraction
B. Start Fraction 5 over 12 End Fraction
C. Start Fraction 7 over 15 End Fraction
D. Start Fraction 16 over 27 End Fraction
Since the sum of the probabilities of picking white, black, and yellow socks must be equal to 1 (i.e., 100%), we can find the probability of picking a yellow pair of socks by subtracting the sum of the probabilities of picking white and black socks from 1.
Therefore, the probability of picking a yellow pair of socks is:
1 - (4/9 + 7/18) = 1 - (8/18 + 7/18) = 1 - 15/18 = 3/18 = 1/6.
So the answer is A. Start fraction 1 over 6 end fraction.
The sample space for a roll of two number cubes is shown in the table.
A 6 by 6 table of ordered pairs is shown.
• A single ordered pair appears in each cell of the table.
In row one, the first element of each ordered pair is 1. This pattern continues through row 6, where the first element in each ordered pair is 6.
• In column one, the second element in each ordered pair is 1. This pattern continues through column 6, where the second element in each ordered pair is 6.
What is the probability that the roll will result in one even and one odd number?
A. one-ninth
B. one-fourth
C. one-third
D. one-half
First, we need to count how many outcomes result in one even and one odd number. An even number can be obtained in three ways (2, 4, or 6) and an odd number can be obtained in three ways (1, 3, or 5). Thus, the total number of outcomes that result in one even and one odd number is 3 x 3 = 9.
Since there are a total of 6 x 6 = 36 possible outcomes from rolling two number cubes, the probability of rolling one even and one odd number is 9/36 = 1/4.
So the answer is B. One-fourth.