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
stellarik [79]
3 years ago
10

Two gamblers, call them Gambler A and Gambler B flip a coin repeatedly. The coin is unfair and comes up heads 2/3 of the time. G

ambler A wins one dollar from Gambler B, when a head is tossed. Conversely Gambler B wins one dollar from Gambler A when a tail is tossed. The coin tosses are independent. The game ends when one of the gamblers runs out of money. There are 5 dollars in the pot. Determine the probability that Gambler A wins the game if he starts with I dollars. Here I
Mathematics
1 answer:
Andru [333]3 years ago
6 0

Answer:

≈ 0.52

Step-by-step explanation:

P( head ) = 2/3 , P( tail ) = 1/3

when a head is tossed ; Gambler A wins $1

when a tail is tossed : Gambler B wins $1

<u>Determine the P( Gambler A wins the game ) if he starts with I dollars</u>

Assuming I = $1

n = 5

p ( head ) = P( winning ) = 0.66

p( losing ) = 0.33

applying the conditional probability in Markov which is ;

Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁

P( 1) = 0.66P₂ + 0.33P₀

resolving the above using with Markov probability

P( 1 ) = 0.51613

hence the probability of Gambler A winning the game if he starts with $1

≈ 0.52

You might be interested in
Suppose you have $12,000 to invest. If part is invested at 10% and the rest at 15%, how much should be invested at each rate to
Ivahew [28]
X=invested at 10%12000-x=invested at 15% .10x+ (.15)(12000-x)=1440 ;; 12% of the total amount is 12% of $12000. .10x + 1800-.15x=1440
-0.05x=-360x=7200 12000-x=4800 $7200 at 10%=$720$4800 at 15%=$720 That is $12000 earning $1440, and that is 12%
3 0
3 years ago
A circle has a circumference of 615.44 point, 44 units.<br> What is the radius of the circle?
Tpy6a [65]

The circumference of a circle is equal to C=2πr

From the question, we have 615.44.

Assume that pi is equal to 3.14

Substitute and solve for r

615.44= 2(3.14)r

r= 615.44/ 6.28

r=98.4704

r=98

Therefore, the radius is about 98 units.

To check:

C=2πr

C=2 x 3.14 x 98

C=6.28 x98

C=615.44

5 0
3 years ago
Solve the compound inequality.<br><br> 9 – 4x ≥ 5 or 4(–1 + x) – 6 ≥ 2
Y_Kistochka [10]
X ≤ 1 and x ≥ 3
Hope this helps :)
5 0
3 years ago
Find the distance between the points (0,2)and (-5,-9)The answer must be a whole number or a fully simplified radical expression
LiRa [457]

Answer:

d = \sqrt{146}

Step-by-step explanation:

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-9-2)^2}\\d= \sqrt{(-5)^2+(-11)^2}\\d= \sqrt{25+121}\\d= \sqrt{146}

7 0
3 years ago
Which expression represent a number that is one fourth as great as 10-2
Nataliya [291]
I think the answer to the expression would be D. (10 - 2) x 4 because (10 - 2) would be multiplied 4 times, which means it would be four times greater. I hope this made sense and also helped you in some way.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Leng bought a television on sale for 30% off if the regular price of the set is r which expression tells the amount leng saved b
    13·1 answer
  • Verify which of the following are identities.
    11·1 answer
  • Help with question 5 please
    14·1 answer
  • A total of 715 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more stud
    15·2 answers
  • 3(6a) for a=3 please help
    8·2 answers
  • What is the area of a parallelogram with a height of 6 feet and a base of 10.5 feet?
    8·2 answers
  • For every 20 grams of fat, 180 calories are added to a serving size of food.
    13·1 answer
  • Simplify square roots<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B125%7D%20" id="TexFormula1" title=" \sqrt{125} " alt=" \
    12·2 answers
  • On Monday, 365 students went on a
    14·2 answers
  • Which function has a range limited to only negative numbers?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!