An organization will give a prize to a local artist. The artist will be randomly chosen from among 7 painters, 4 sculptors, and 5 photographers. What is the probability that the artist chosen will be a painter or a photographer?
Write your answer as a fraction in simplest form.
Question 16
An organization will give a prize to a local artist. The artist will be randomly chosen from among 3 painters, 7 sculptors, and 12 photographers. What is the probability that the artist chosen will be a painter or a sculptor? Write your number as a fraction in simplest form.
12/16=3/4
0.75
An organization will give a prize to a local artist. The artist will be randomly chosen from among 7 painters, 4 sculptors, and 5 photographers. What is the probability that the artist chosen will be a painter or a photographer?
Write your answer as a fraction in simplest form.
total number of artist=7+5+4=16
probability of selecting a painter or. photographer=7/16+5/16=12/16=3/4
A spinner with 6 equally sized slices has 2 red slices, 1 blue slice, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red or blue slice?
Write your answer as a fraction in simplest form.
There are 2 red slices and 1 blue slice, so the total number of favorable outcomes is 2 + 1 = 3.
The total number of possible outcomes is 6 (since there are 6 slices in total).
Therefore, the probability of the dial stopping on a red or blue slice is 3/6, which simplifies to 1/2.
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 12 ?
Write your answer as a fraction in simplest form.
Since there are 12 sides on the die and each number is equally likely to be rolled, the probability of rolling any single number is 1/12.
The probability of rolling a number less than 12 (i.e., rolling any number from 1 through 11) is the sum of the probabilities of rolling each of these 11 numbers, which is:
P(rolling a number less than 12) = P(rolling 1) + P(rolling 2) + ... + P(rolling 11)
P(rolling a number less than 12) = 1/12 + 1/12 + ... + 1/12 (11 times)
P(rolling a number less than 12) = 11/12
Therefore, the probability of rolling a number less than 12 is 11/12.
Lamar borrowed money from a credit union for 5 years and was charged simple interest at an annual rate of 9% . The total interest that he paid was $3600 . How much money did he borrow?
If necessary, refer to the list of financial formulas.
We can use the simple interest formula to solve for the principal amount (the amount Lamar borrowed):
I = Prt
where I is the amount of interest, P is the principal, r is the annual interest rate (as a decimal), and t is the time in years.
We are given that Lamar borrowed money for 5 years and was charged simple interest at an annual rate of 9%, and that the total interest he paid was $3600. Therefore:
$3600 = P(0.09)(5)
Simplifying:
$3600 = 0.45P
Dividing both sides by 0.45:
P = $8000
Therefore, Lamar borrowed $8000.