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Likurg_2 [28]
3 years ago
12

An Urn contains two white marbles and one black marble. A marble is drawn from the Urn without replacement and put aside without

my seeing it. Then a second marble is drawn, and it is white.
What is the probability that the unknown removed marble is white, and what is the probability that it is black?
Mathematics
1 answer:
algol [13]3 years ago
4 0

Answer:

Step-by-step explanation:

No. Of white marble n(W) = 2

No. Of black marble n(B) = 1

Total no. Of marble N = 2 + 1 = 3

Prob(1st is white) = n(W)/N = 2/3

Prob(1st is black) = n(B)/N = 1/3

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A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 2
Shalnov [3]

Answer:

The expected winnings for a person buying 1 ticket is -0.2.                  

Step-by-step explanation:

Given : A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 25 cents each, find the expected winnings for a person buying 1 ticket.

To find : What are the expected winnings?    

Solution :

There are one first prize, 2 second prize and 20 third prizes.

Probability of getting first prize is \frac{1}{20000}

Probability of getting second prize is \frac{2}{20000}

Probability of getting third prize is \frac{20}{20000}

A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each.

So, The value of prizes is

\frac{1}{20000}\times 1000+\frac{2}{20000}\times 300+\frac{20}{20000}\times 10

If 20000 tickets are sold at 25 cents each i.e. $0.25.

Remaining tickets = 20000-1-2-20=19977

Probability of getting remaining tickets is \frac{19977}{20000}

The expected value is

E=\frac{1}{20000}\times 1000+\frac{2}{20000}\times 300+\frac{20}{20000}\times 10-\frac{19977}{20000}\times 0.25

E=\frac{1000+600+200-4994.25}{20000}

E=\frac{-3194.25}{20000}

E=-0.159

Therefore, The expected winnings for a person buying 1 ticket is -0.2.

3 0
3 years ago
Find the coordinates of the midpoint of the segment given its endpoints P(-3,-7) and Q(3,-5)
stellarik [79]

Answer:

Midpoint....; (0,-6)

Step-by-step explanation:

Midpoint of the segment

= [(sum of x-coordinates) ÷ 2] , [(sum of y-coordinates) ÷ 2]

Midpoint = [( 3 + (-3))÷ 2 , (-5 + (-7))÷ 2]

Midpoint = ( 0/2 , -12/2 )

Midpoint = (0,-6)

8 0
3 years ago
Nearest hundredth of 3419.46
Kamila [148]

That's already rounded to the nearest hundredth, so the answer is 3419.46.

The picture below will help you.

4 0
3 years ago
Read 2 more answers
Simon and Andrew see a speed limit sign that says 65 kilometers per hour. They decide to convert this speed limit to miles per h
stealth61 [152]

Answer:

40.38912735 or about 40 miles per hour (rounded to the nearest whole number)

Step-by-step explanation:

1.) You want to convert kilometers per hour to miles per hour.

2.) There are 0.62137119 miles in 1 kilometer.

3.) Multiply 65 by 0.62137119

4.) That equals 40.38912735

5.) This answer can be rounded to 40 mph.

5 0
3 years ago
Write this ratio as a fraction in simplest form without any units. <br><br> 3 pounds to 42 ounces
mihalych1998 [28]

without changing units, since we can have a lbs:oz ratio, and that's perfectly fine

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8 0
3 years ago
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