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
Murljashka [212]
2 years ago
8

An urn contains nine red and one blue balls. A second urn contains one red and five blue balls. One ball is removed from each ur

n at random and without replacement, and all of the remaining balls are put into a third urn. What is the probability that a ball drawn randomly from the third urn is blue?
Mathematics
1 answer:
il63 [147K]2 years ago
8 0

Answer:

0.362

Step-by-step explanation:

When drawing randomly from the 1st and 2nd urn, 4 case scenarios may happen:

- Red ball is drawn from the 1st urn with a probability of 9/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this case to happen is (9/10)*(1/6) = 9/60 = 3/20 or 0.15. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 5 blue)/(8 red + 1 blue + 5 blue) = 6/14 = 3/7.

- Red ball is drawn from the 1st urn with a probability of 9/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (9/10)*(5/6) = 45/60 = 3/4 or 0.75. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 4 blue)/(8 red + 1 blue + 1 red + 4 blue) = 5/14

- Blue ball is drawn from the 1st urn with a probability of 1/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (1/10)*(5/6) = 5/60 = 1/12. The probability that a ball drawn randomly from the third urn is blue given this scenario is (4 blue)/(9 red + 1 red + 4 blue) = 4/14 = 2/7

- Blue ball is drawn from the 1st urn with a probability of 1/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this event to happen is (1/10)*(1/6) = 1/60. The probability that a ball drawn randomly from the third urn is blue given this scenario is (5 blue)/(9 red + 5 blue) = 5/14.

Overall, the total probability that a ball drawn randomly from the third urn is blue is the sum of product of each scenario to happen with their respective given probability

P = 0.15(3/7) + 0.75(5/14) + (1/12)*(2/7) + (1/60)*(5/14) = 0.362

You might be interested in
5.7 is increased to 7.8<br> What is the percentage of increase?
Naddika [18.5K]

Answer:

7.8%

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Help me please!?!?!?!
eduard
The answer would be A
6 0
3 years ago
Does dose anyone know how to solve this?
solniwko [45]

Answer:

Width of rectangle = 6 m

Length of rectangle = 11 m

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 3w-7

Area of rectangle = 66 m²

We need to find length and width of rectangle

The formula used is: Area=Length \times Width

Putting values and finding w

Area=Length \times Width\\66=(3w-7)(w)\\66=3w^2-7w\\3w^2-7w-66=0\\

Solve using quadratic formula: w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

We have a=3, b=-7, c=-66

Putting values and finding w

w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-(-7)\pm\sqrt{(7)^2-4(3)(-66)}}{2(3)}\\w=\frac{7\pm\sqrt{49+792}}{6}\\w=\frac{7\pm\sqrt{841}}{6}\\w=\frac{7\pm29}{6}\\w=\frac{7+29}{6}\:,\:w=\frac{7-29}{6}\\w=6, w=-3.6

We get values of w as w=6 and w=-3.6

As we know width cannot be negative, so considering w = 6

So, Width = 6

Length = 3w-7 = 3(6)-7 = 18-7 = 11

So, Width of rectangle = 6 m

Length of rectangle = 11 m

6 0
2 years ago
Which coordinates will best represent point A'?
baherus [9]

Answer: OPTION A.

Step-by-step explanation:

You know that the rule that will be used for the translation of the figure ABC is:

(x,y)→(x-3,\ y+4)

You can observe in the figure that the coordinates of the point A is this:

A(1,1)

Then, in order to find the coordinates that will best represent point A', you need to subtract 3 from the x-coordinate of the point A and add 4 to the y-coordinate of the point A:

A'(1-3,\ 1+4)\\\\A'(-2,5)

4 0
3 years ago
Read 2 more answers
Question below pls hurry it’s timed
Gala2k [10]

Answer:

40ft perimeter

Step-by-step explanation:

Hope this helps

3 0
3 years ago
Read 2 more answers
Other questions:
  • Determine if EF || HL
    15·1 answer
  • Hannah purchases n magazines for $0.53 each.Write the expression for the total cost?
    11·1 answer
  • The sentence "Nine is more than a number" can be represented by the inequality 9 ≥ n . true or false
    14·2 answers
  • A granite monument has a volume of 25,365.4 cm3. The density of granite is 2.7 g/cm3. Use this information to calculate the mass
    6·2 answers
  • PLEASE HURRY WILL GIVE BRAINLIST ​
    11·2 answers
  • The table shows the amounts y (in tons) of waste left in a landfill after x months of waste relocation. Use the table to complet
    12·1 answer
  • The workers at the help line answers 24 phone calls every 2hours how many phone calls do the workers answer in 8hours
    8·1 answer
  • On a super clearance sale, bathing suits were marked 85% off. What is
    15·2 answers
  • Help PLEASE!!! [URGENT]
    13·1 answer
  • Find the missing angle measure in each triangle as acute, right or obtuse
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!