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
Sholpan [36]
3 years ago
12

If we play a game where I start with 2 dollars and you start with one dollar, and I have a probability of 1/3 of winning a dolla

r from you and you have a 1/3 probability of winning a dollar from me, what is the probability that I win all of your money
Mathematics
1 answer:
Vadim26 [7]3 years ago
8 0

Answer:

1/3 or 0.33

Step-by-step explanation:

Hope it helps

LMK if it does and weather it is wrong or right

You might be interested in
Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable (A fo
jeka94

Answer:

(a) F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

Step-by-step explanation:

(a) If F(A, B, C) = 1 iff exactly one of the coins is heads, then either

A is heads and the others are tails (AB'C')

B is heads and the others are tails (A'BC')

C is heads and the others are tails (A'B'C)

Hence, as a minterm expansion,

F(A, B, C) = AB'C' + A'BC' + A'B'C

(b) To get the corresponding maxterm expansion, we convert to binary.

F(A, B, C) = \sum (100, 010, 001) = \sum(4,2,1)

The maxterm is the product of the complements.

F(A, B, C) = \prod (0, 3, 5, 6, 7) = \prod(000, 011, 101, 110, 111)

Expanding,

F(A, B, C) = (A' + B' + C')(A' + B + C)(A + B' + C)(A + B + C')(A + B + C)

3 0
3 years ago
When Brad was born, his Grandma put, $1,500 in a new account for him. Since then, the balance of the account, has grown by 6.5%
marin [14]

Answer:

$969.04

Step-by-step explanation:

now at age of 18 Brad has 1500 * 1,065^18

at age of 21 he will have 1500 * 1,065^21

if he waits the difference will be 1500 * 1,065^21 - 1500 * 1,065^18 = $969.04

6 0
3 years ago
A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.
tatyana61 [14]

Answer:

(a)g(n)=0.05\cdot 2^n

(b)g^{-1}(n)=\log_{2}20g(n)

(c)43 times

Step-by-step explanation:

<u>Part A</u>

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n

<u>Part B</u>

<u />g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)<u />

<u />

<u>Part C</u>

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

3 0
3 years ago
Mrs. Lin had two dozen pencils. She gave them to four students and asked them to share equally among them. How many pencils shou
Mice21 [21]

Answer:

6 pencils each

Step-by-step explanation:

2 dozen = 24

24/4 = 6

3 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (2,-6) and has a slope of −1?
kotykmax [81]

Answer:

y-6=-1(x-2) hope this helps

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • an aircraft has 77 females on board. about 48% of all of the passengers are on board how many passengers are on board on the air
    9·2 answers
  • PLEASE HELP!!!<br><br> A. 30<br><br> B. 34<br><br> C. 46<br><br> D. 36
    10·1 answer
  • Which expression can be used to determine the length of segment AB?
    15·2 answers
  • Spinning a loop of wire between the poles of a magnet will induce an electric current. Which of the following conditions will mi
    10·1 answer
  • Lindsay paid $4.40 for 1 gallon of ice cream. At this rate what would 1 quart cost? What would 1 pint cost?
    12·1 answer
  • Solve the given systems of equations:<br>x-y+z=1<br>-3x+2y+z=1<br>2x-3y+4z=3​
    5·1 answer
  • Which scenarios have a negative correlation? Check all that apply. the number of calories consumed and the amount of weight lost
    10·2 answers
  • Directions: Convert as indicated
    6·2 answers
  • Someone help please !!
    13·1 answer
  • Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!