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
pishuonlain [190]
3 years ago
12

Suppose you have two urns with poker chips in them. Urn I contains two red chips and four white chips. Urn II contains three red

chips and one white chip. You randomly select one chip from urn I and put it into urn II. Then you randomly select a chip from urn II.
(a) What is the probability that the chip you select from urn II is white?
b) Is selecting a white chip from urn I and selecting a white chip from urn II independent? Justify your answer numerically.
Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

Multiple answers

Step-by-step explanation:

The original urns have:

  1. Urn 1 = 2 red + 4 white = 6 chips
  2. Urn 2 = 3 red + 1 white = 4 chips

We take one chip from the first urn, so we have:

The probability of take a red one is : \frac{1}{3} (2 red from 6 chips(2/6=1/2))

For a white one is: \frac{2}{3}(4 white from 6 chips(4/6=(2/3))

Then we put this chip into the second urn:

We have two possible cases:

  • First if the chip we got from the first urn was white. The urn 2 now has 3 red + 2 whites = 5 chips
  • Second if the chip we got from the first urn was red. The urn two now has 4 red + 1 white = 5 chips

If we select a chip from the urn two:

  • In the first case the probability of taking a white one is of:  \frac{2}{5} = 40%  ( 2 whites of 5 chips)
  • In the second case the probability of taking a white one is of:  \frac{1}{5} = 20%  ( 1 whites of 5 chips)

This problem is a dependent event because the final result depends of the first chip we got from the urn 1.

For the fist case we multiply :

\frac{4}{6} x \frac{2}{5} = \frac{4}{15} = 26.66%   ( \frac{4}{6} the probability of taking a white chip from the urn 1, \frac{2}{5}  the probability of taking a white chip from urn two)

For the second case we multiply:

\frac{1}{3} x \frac{1}{5} = \frac{1}{30} = .06%   ( \frac{1}{3} the probability of taking a red chip from the urn 1, \frac{1}{5}   the probability of taking a white chip from the urn two)

You might be interested in
Please help me understand
puteri [66]

9514 1404 393

Answer:

  D.  86°

Step-by-step explanation:

Points D and F divide the circle into two arcs. The long arc is labeled 274°, and the short arc is the one you're asked to find. You know the total of these two arcs is the full circle, 360°.

  274° + DF = 360°

  DF = 360° -274°

  DF = 86°

__

There are other relationships you can use to find arc DF. One of the simpler ones is ...

  DF and the external angle at E are supplementary:

  DF = 180° -94° = 86°

5 0
3 years ago
The formula for the perimeter of a rectangle is 2l + 2w, where l is the length and width. How can you use the Distributive Prope
Ann [662]
Try to find the common factor which is 2.
So:
Multiply by 2 both variables in parenthesis and you get:
2*(l+w)
5 0
3 years ago
If f(x)=2x-4 find f(q+1)
musickatia [10]
Is there any other information given on this?

5 0
3 years ago
Evaluate exactly in radians: arctan(1/sqrt(3)). Show solution w/ explanation.
balandron [24]
Arc tan ( 1/√3 ) = arc tan ( √3/3 ) = 30°
180° = π ( in radians )
30° = 180°/6  = π/6 
 
5 0
3 years ago
18.) A cylinder and a cone have the same radius and<br> the same volume. How do the heights compare?
mart [117]

Answer:

If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Geoff and hazel bought a new car for $25,000. The car loses approximately 15% of its value each year.
    13·2 answers
  • Urgent
    11·1 answer
  • Please answer right away
    5·2 answers
  • ANSWER ASAP FOR BRAINLEST and THANKS
    8·2 answers
  • X+8 &gt; 18 how do you solve it
    7·1 answer
  • Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other. How many different ways can they stand in line?
    12·1 answer
  • Estimate the solution of the system of equations. Write the answer as an ordered pair.
    8·1 answer
  • NICKI OR CARDI.............
    11·2 answers
  • Which expressions is not equivalent 2x^2+10x+12?
    10·1 answer
  • Hest answer = Brainilest
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!