1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rewona [7]
2 years ago
14

There is a bag filled with 5 blue and 6 red marbles.

Mathematics
1 answer:
Afina-wow [57]2 years ago
4 0

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

\displaystyle P\left(\text{Red}\right)=\frac{6}{11}

Since the marble is replaced, the probability of getting another red is: \displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}

The probability of getting a blue marble first is:

\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}

And the probability of getting another blue is:

\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}

So, the probability of getting two of the same color is:

\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

You might be interested in
The circle has a radius of 3 cm. What is the area of the circle?
STatiana [176]
You would do 
3.14*r^2 
which is 3
r=3
what you do is 
3.14*3*3 which is 28.26cm^2 which is D

6 0
3 years ago
Read 2 more answers
A piece of plywood at Pat's Lumber Yard costs $30. If the length of the plywood is 5 feet, what must the width be?
son4ous [18]

Answer:

4 inches

Step-by-step explanation:

8 0
3 years ago
Can you help find the quotient for 4/5 ÷ 10
pochemuha

Answer:

2/25

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
the sum of two numbers is 3 3/4 if 1/3 of the larger number is 1/2 more than 2/3 of the smaller find the number
Agata [3.3K]
Let us assume the larger number = x
Let us assume the smaller number = y
Then
x + y = 3 3/4
x + y = 15/4
And
x/3 = (2y/3) + 1/2
x = [3 * (2y/3)] + (3/2)
  = 2y + (3/2)
Now putting the value of x from the second equation to the first , we get
x + y = 15/4
2y + (3/2) + y = 15/4
3y = (15/4) - (3/2)
3y = (15 - 6)/4
3y * 4 = 9
12y = 9
y = 9/12
   = 3/4
Now putting the value of y in the first equation, we get
x + y = 15/4
x + (3/4) = (15/4)
x = (15/4) - (3/4)
   = (15 - 3)/4
   = 12/4
   = 3
So the value of x or the larger number is 3 and the value of y or the smaller number is 3/4.
3 0
2 years ago
Help please...........
ElenaW [278]
Parallel lines always have the same slope.  In fact that is the definition of parallel lines :P  (Technically they have the same slope and different y-intercepts, because parallel lines can never intersect...)

D
7 0
2 years ago
Other questions:
  • You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How
    13·1 answer
  • If you know that a line has a slope of 2/3 and a y-intercept of 7, what is the equation for that line in slope-intercept form?
    13·1 answer
  • without Computing decide whether the value of each expression is much smaller than 1 close to 1 or much larger than 1 : 1,000,00
    8·1 answer
  • (URGENT) need answer for today​
    10·1 answer
  • Which one of the following statements is true? (5 points)
    6·1 answer
  • The angle measures of a triangle are 33 degrees, 94 degrees, and 53 degrees. what angle is it?
    13·1 answer
  • How to tell someone you've got feelings for them
    5·2 answers
  • What is the answer? please I need help​
    13·2 answers
  • 10. What is the measure of ZP?*<br> E<br> (15m + 17)º<br> -Q<br> (4m – 10)<br> P<br> (7m - 9)
    12·1 answer
  • Write a subtraction sentence that you can use to find the length of the side of the polygon between the vertices located at (3,4
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!