MATHEMATICS MIDDLE SCHOOL

cedric has 1 red pen, 1 blue pen, and 1 black pen in his desk. if he randomly takes two of them from his desk without replacement, what is the probility that he will take the blue and black pen?

Answers

Answer 1

Answer:

Answer:

Probability that Cedric will take the blue and black pen is $(1)/(3)$ .

Step-by-step explanation:

Total No of pen on Desk = 3

Without replacement means each time next pen is drawn the total no of pen decreases by 1.

So, Probability of Drawing a blue and black pen

= P(Blue) × P(Black) + P(Black) × P(Blue)

= $(1)/(3)*(1)/(2)+(1)/(3)*(1)/(2)$

= $2*(1)/(6)$

= $(1)/(3)$

Therefore, Probability that Cedric will take the blue and black pen is $(1)/(3)$ .

Answer 2

Answer: there is a one third chance of that happening (1/3)

Related Questions

Compare the ruler you made to an inch ruler.Describe a how they are alike and how they are different
Numbers like 10, 100, 1,000, and so on are called
7/32 in a decimal form.
Start at 12 create a pattern that multiplies each number by 4
What is 189.271 in expanded form?

2x-8y=-24
6x+4y=68
Using elimination method

Answers

6(2x-8y=-24)
-2 (6x+4y=68)
12x-48y=-144
-12x-8y=-136
-56y=-280

-280÷-56=5
y=5

2x-8 (5)=-24
2x-40=-24
+40. +40
2x=16
16÷2=8
×=8

y=5
x=8
hope this helps, if needed a picture for better understanding,please comment.

An 18% alcohol solution is mixed with a 45% alcohol solution to produce 12 ounces of a 36% alcohol solution. How many ounces of the 18% solution and the 45% solution must be used?

Answers

Answer:

The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8

Step-by-step explanation:

Let

x ---> ounces of the 18% solution

y ---> ounces of the 45% solution

we know that

The number of ounces of the 18% solution plus the number of ounces of the 45% solution must be equal to 12 ounces

$x+y=12$ ----> equation A

The number of ounces of the 18% solution multiplied by 0.18 (percentage in decimal form) plus the number of ounces of the 45% solution multiplied by 0.45 (percentage in decimal form), must be equal to 12 ounces multiplied by 0.36 (percentage in decimal form)

$0.18x+0.45y=0.36(12)$

$0.18x+0.45y=4.32$ -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (4,8)

see the attached figure

therefore

The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8

How many sixteenths are in 15/16

Answers

15

Hope The Answer Helps! >.<

theireis only 15
numberrs of 15

On a string of lights,for every 6 green lights, there are 4 white.If there are 30 green lights, how many white lights are there?

Answers

I got the answer by setting up a little table of 6 and 4 and got 24.
Hope this is helpful. :)

6 green = 4 white

There are five 6s in 30

So 5x4= 20

So 30 green 20 white

What is the answer 1/3+2/6+3/12+_= 1

Answers

convert 1/3 to 2/6 then add 2/6+2/6 which will equal 4/6 convert 4/6 to 12ths which would be 8/12+3/12=11/12 then 11/12+1=1 whole so 1 goes in the blank

What is the sum of the measures of the exterior angles of this triangle?A triangle has angles A, C, 51 degrees. Angle A has exterior angle B and angle C has an exterior angle with measure of 112 degrees.

Answers

The measure of ∠B is 119°.

What is the exterior angle?

An exterior angle is a measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacentside which is not extended.

All the exteriorangles are of the same measure, and therefore, their measure is (360/n)°.

The angle adjacent to 112° will form a straight angle along with 112° adding to 180° which makes ∠C=68°

Then;

a+c+51°= 180°

a+68°+51° = 180°

a+119° = 180°

a = 180° - 119°

a = 61°

Now,

a+b = 180°

61+b = 180

b = 180-61