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
lana66690 [7]
3 years ago
8

A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the pr

obabilities. Find the probability of pulling three green marbles out with replacement
Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:  The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

Step-by-step explanation:  Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.

Let S be the sample space for the experiment of pulling a marble.

Then, n(S) = 12 + 8 + 5 = 25.

Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.

The, n(E) = 12, n(F) = 8  and  n(G) = 5.

Therefore, the probabilities of each of these three events E, F and G will be

P(E)=\dfrac{n(E)}{n(S)}=\dfrac{12}{25}=\dfrac{12}{25}\times100\%=48\%,\\\\\\P(F)=\dfrac{n(F)}{n(S)}=\dfrac{8}{25}=\dfrac{8}{25}\times100\%=32\%,\\\\\\P(G)=\dfrac{n(G)}{n(S)}=\dfrac{5}{25}=\dfrac{5}{25}\times100\%=20\%.

Now, the probability of pulling three green marbles out with replacement is given by

P(G)\times P(G)\times P(G)=\dfrac{5}{25}\times\dfrac{5}{25}\times \dfrac{5}{25}=\dfrac{1}{125}=\dfrac{1}{125}\times100\%=0.8\%.

Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

You might be interested in
Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they
Kruka [31]

Given :

Peter velocity , P = 30 mph .

Mitchell velocity , M = 40 mph .

Mitchell leaves 15 min later .

To Find :

If they drive along the same route how long will it take Mitchell to catch Peter.

Solution :

Distance covered by Peter in 15 min .

D = 30\times \dfrac{15}{60}=7.5\ miles

Let , time taken is x .

So , distance covered b them is equal :

7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min

Therefore , time taken by them is 45 minutes .

Hence , this is the required solution .

4 0
3 years ago
- 1/2 (- 3/2x + 6x + 1) - 3x
zepelin [54]

Answer: = -2/4x + -1/2

Step-by-step explanation:

hope this helped

5 0
3 years ago
Which of the following represents the graph of f(x) = 2x + 2?
Wittaler [7]
Did u type the equation wrong none of these graphs match I believe the intercept would be 2
3 0
3 years ago
Read 2 more answers
Help pls dont give just the answer pls step by step so i can understand
Irina-Kira [14]

Answer:

y=14

Step-by-step explanation:

Since this is an isosceles triangle due to opposite sides being congruent, the base angles would also be congruent.

50 = 2x \\x=25

plug in 25 in 2x and you would get 50°

Since the sum of a triangle is 180° you could set up an equation 50+50+5y+10=180

Then, add 50+50=100+10=110

then you would then have 5y+110=180\\

subtract 110 from 180, leaving you with 70

5y=70

then divide and you would get 14

Check:

5(14)+10+50+50= 180

8 0
3 years ago
Solve the equation and check your solution for -14=k+6
andrew11 [14]

Answer:

-20=k

Step-by-step explanation:

-14=k+6

-6       -6

-20=k

-14=-20+6

-14=-14

5 0
3 years ago
Other questions:
  • Find the area of the triangle.
    11·1 answer
  • Caroline drove 350 miles. It took her 5 1/4 hours. what was her speed per miles
    11·1 answer
  • una pizzeria hace pizzas de varios tamaños y las vende en cajas hexagonales de 39 cm de lado y 4.7 cm de alto ¿que cantidad de c
    5·1 answer
  • 27 divided by 89,420 remainder as a faction?
    6·1 answer
  • How many different triangles can be constructed with three angles, each measuring 60°
    14·1 answer
  • Which of the following is not needed when describing a rotation?
    11·1 answer
  • Explain how to find the surface area of a can of fruit with a height of 80 mm and a diameter of 60 mm.
    8·2 answers
  • The histograms show the number of new subscribers in one month by age group for three newspaper. which statement is best support
    10·2 answers
  • Simplify the expression:<br> 2h+7+6+2h2
    12·2 answers
  • Calculate the volume of each diagrams.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!