Ms wanton recycles colored pencils in a box for use in her art class. She has accumulated 4 red 5 blue 3 yellow and 3 green colored pencils. If one of her students reaches into the box and selects one pencil without looking what is the probabiltiy that the student will not get a blue one?

A.1/2
B.4/15
C.2/3
D.1/3
C

Mrs.Warren wants to buy a class set of rulers and grid paper for her students. She knows that rulers come in packages of 12 and grid comes in packages of 9. What is the fewest number of packages of rulers and grid paper Mrs.Warren should buy in order to have equal numbers of each?
A.6 packages of ruler
8 packages of grid
B.3 packages of rulers
4 packages of grid
C.4 packages of ruler
3 packages of grid
D.8 packages of ruler
6 packages of grid
B

4+5+3+3 = 15

blue = 5/15 or 1/3
so
1 - blue = 2/3 so C yes

12 = 2*2*3
9 = 3 *3

so
rulers
2*2*3* (3) = 36
paper
3*3* (2*2)= 36

so 3 of rulers and 4 of paper
so B

Thank you

To find the probability that the student will not get a blue colored pencil, we first need to calculate the total number of colored pencils in the box and the number of blue colored pencils.

Total number of colored pencils = 4 red + 5 blue + 3 yellow + 3 green = 15

Number of blue colored pencils = 5

The probability that the student will not get a blue colored pencil is equal to the total number of non-blue colored pencils divided by the total number of colored pencils.

Number of non-blue colored pencils = total number of colored pencils - number of blue colored pencils = 15 - 5 = 10

Probability = Number of non-blue colored pencils / Total number of colored pencils
= 10 / 15

Simplifying the fraction, we get:

Probability = 2/3

Therefore, the correct answer is option C: 2/3.

To find the fewest number of packages of rulers and grid paper, we need to find the least common multiple (LCM) of 12 and 9.

LCM of 12 and 9 = 36

This means that Mrs. Warren needs to buy packages in multiples of 36 to have equal numbers of rulers and grid paper.

Let's calculate the number of packages needed:

Number of packages of rulers = LCM / 12 = 36 / 12 = 3

Number of packages of grid paper = LCM / 9 = 36 / 9 = 4

Therefore, the fewest number of packages of rulers and grid paper that Mrs. Warren should buy to have equal numbers of each is:

3 packages of rulers and 4 packages of grid paper.

So, the correct answer is option B: 3 packages of rulers and 4 packages of grid paper.