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
dybincka [34]
3 years ago
15

An urn contains 3 ​one-dollar bills, 1​ five-dollar bill and 1​ ten-dollar bill. A player draws bills one at a time without repl

acement from the urn until a​ ten-dollar bill is drawn. Then the game stops. All bills are kept by the player.​ Determine: ​(A) The probability of winning ​$12. ​(B) The probability of winning all bills in the urn. ​ (C) The probability of the game stopping at the second draw.
Mathematics
1 answer:
TEA [102]3 years ago
6 0

Hey there! I'm happy to help!

PART A

There are 3 $1 bills, 1 $5 bill, and 1 $10 bill. This gives us 5 total bills.

First, we want to find the probability of winning $12. Well, to win, you have to draw the $10 bill. You only have room for two dollars beforehand to equal $12 dollars after pulling out the ten. So, this is the probability of drawing two one dollar bills and the the ten. Let's calculate this below.

\frac{3}{5} *\frac{1}{2} *\frac{1}{3} =\frac{1}{10}

Where did I get these numbers from? Well 3 of the 5 bills are $1, so the first probability is 3/5. Then, if we draw one of the $1 bills, there are only 2 of those left and 4 total bills, so the probability is then one half. Finally, there would be only 3 left and you need to pick the $10 bill, which is a probability of 1/3.

The probability of winning $12 is 1/10 or 10%.

PART B

Now, we want to find the probability of picking every single bill before the ten. This means that we pick the three one dollar bills and the five dollar bill before the ten.

To pick the first $1 bill, our probability is 3/5, and then for the second it is 1/2. For the third, there are three total cards and 1 $1 bill, so the probability is 1/3. Then we have a 1/2 chance of picking the $5 bill over the $10 bill, giving us this solution.

\frac{3}{5} * \frac{1}{2} * \frac {1}{3} * \frac{1}{2}= \frac{1}{20}

The probability of winning all bills in the urn is 1/20 or 5%.

PART C

For this event, we want to get any bill that isn't the $10 and then we want the $10 on the second one.

Since there are 4 bills that aren't the $10, our first probability is 4/5. Then, we only have 4 left, with 1 being the $10, so our second probability is 1/4.

\frac{4}{5}*\frac{1}{4}=\frac{1}{5}

The probability of the game stopping at the second draw is 1/5 or 20%.

Have a wonderful day! :D

You might be interested in
Where is the range located
AnnyKZ [126]

Answer: There is not enough information to answer this question.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The sum of x and 25 is less than 75
Pavel [41]
I you're looking for the equation, it is 

x+25  \ \textless \  75

and If you need me to solve it, it is 

x \ \textless \  50
8 0
3 years ago
Reflect triangle ABC over the x-axis. Then translate the new triangle 5 units to the left. What are the coordinates of the verti
makvit [3.9K]

Hi there!

The answer to your question is B my explanation is below

The coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

Step-by-step explanation:

Given the triangle with the vertices

A(-1, -8)B(-2, 2)C(5, 2)We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reverses its sign.

Thus,

The rule of reflection across the x-axis:

(x, y) → (x, -y)

so

A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)

B(-2, 2) → B'(-2, -2) = B'(-2, -2)

C(5, 2) → C'(5, -2) = C'(5, -2)

Then, translate the new triangle 5 units to the left

Rule of translating 5 units to the left

(x, y) → (x-5, y)

so

A'(-1, 8) → A''(-1-5, 8) = A''(-6, 8)

B'(-2, -2) → B''(-2-5, -2) = B''(-7, -2)

C'(5, -2) → C''(5-5, -2) = C''(0, -2)

Therefore, the coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

8 0
3 years ago
Read 2 more answers
Marking brainliest
Rina8888 [55]

Answer: You should play if you are feeling better. Playing on an injured leg could injure it further. You also should see a doctor if it is that bad.

Step-by-step explanation:

5 0
3 years ago
Word related with English<br>​
lutik1710 [3]

Answer:

um hi?

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • The product of 5 and a number x is 14 . What is the value of x?<br> 19/4<br> 1/20<br> 5/4<br> 4 3/4
    10·1 answer
  • I need help with this problem
    11·2 answers
  • Josie and Tyler play the following game. an integer between 0 and 799 inclusive is selected and given to josie. whenever josie r
    10·1 answer
  • Find the quotient of 42 4 6
    6·1 answer
  • Tyler tried to solve an equation step by step.
    6·1 answer
  • Kary created the table below to graph the equation r=1+2sin theta. Kary thinks she made a mistake.
    11·2 answers
  • What is the approximate area of the shaded sector in the circle below?
    10·1 answer
  • Given that cosΘ = -square root 2/2 and that Θ lies in quadrant III, determine the value of sinΘ.
    14·1 answer
  • Find the length of segment AB
    7·1 answer
  • What is (7x-10y)-(8x-7y) subtract binomials
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!