In his class, Dale conducted a survey to observe the distribution of eye color.
The results are summarized as follows:
Color | Number of Students
blue | 20
brown | 12
green | 10
amber | 8
hazel | 6
gray | 4
If a student is randomly chosen from this group, what is the chance of selecting a student with blue eyes? Write your answer in the simplest form of a fraction.
(1 point)
The total number of students in the survey is:
20 + 12 + 10 + 8 + 6 + 4 = 60
The probability of selecting a student with blue eyes is:
Number of students with blue eyes / Total number of students = 20 / 60 = 1/3
Therefore, the chance of selecting a student with blue eyes is 1/3.
There are 10 numbers in the list, and the even numbers in the list are 2, 4, 10, 12, 18, and 20.
The probability of selecting an even number is:
Number of even numbers / Total number of numbers = 6 / 10 = 3/5
Therefore, the probability of getting an even number is 3/5.
Out of the 26 letters in the English alphabet, there are 21 consonants (excluding a, e, i, o, u) and 5 vowels (a, e, i, o, u).
The probability of selecting a consonant is:
Number of consonants / Total number of letters = 21 / 26
Therefore, the probability of selecting a consonant is 21/26.
A number from the list {2, 4, 5, 7, 9, 10, 12, 15, 18, 20} is to be picked at random. What is the probability of getting an even number? Write your answer in the simplest form of fraction.
(1 point)
A letter is to be picked at random from the English alphabet. If each letter is equally likely to be selected, what is the probability of selecting a consonant? Consonants are letters except for a, e, i, o, and u. Write your answer in the simplest form of fraction.
(1 point)
A survey was conducted to determine students’ preferred learning style.
The distribution of responses from the sample participants are summarized as follows:
Learning Styles | Number of Students Who Prefer Each Style
auditory learning style | 17
visual learning style |20
kinesthetic learning style | 13
Write a ratio that compares the number of students who preferred a visual learning style to the number of student-participants of the survey. Write your answer in the simplest fraction form.
(1 point)
A. 2/3
B. 3/5
C. 2/5
D. 20
The number of students who preferred visual learning style is 20, and the total number of student-participants in the survey is:
17 (auditory) + 20 (visual) + 13 (kinesthetic) = 50
The ratio comparing the number of students who preferred a visual learning style to the total number of student-participants is:
20 (number of students who prefer visual) / 50 (total number of students) = 2/5
Therefore, the correct answer is C. 2/5.
Each letter of the word movers is written on an individual paper strip and placed in a box. Which set represents the favorable outcomes of the event of randomly choosing a consonant letter? (1 point)
A. {o, e}
B. {v, r, s}
C.{m, o, v, e, r, s}
D.{m, v, r, s}
The word "movers" has the following consonant letters: m, v, r, s.
Therefore, the set that represents the favorable outcomes of randomly choosing a consonant letter is:
D. {m, v, r, s}
Use the image to answer the question.
A circular dial is divided into 10 equal parts from the origin toward the circumference. The parts are labeled clockwise from 1 to 28 in increments of 3. Beginning directly to the right, they are marked as 1, 4, 7, 10, 13, 16, 19, 22, 25, and 28. A needle is fixed vertically at the center, with the arrow pointing directly upward to the line between 22 and 25 at the top center of the dial.
If this spinner is to be spun once, how likely will it stop on a multiple of 9?
(1 point)
A. impossible
B. unlikely
C. certain
D. likely