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
andreyandreev [35.5K]
3 years ago
9

Two chess players, A and B, are going to play 7 games. Each game has three possibleoutcomes: a win for A (which is a loss for B)

, a draw (tie), and a loss for A (which isa win for B). A win is worth 1 point, a draw is worth 0.5 points, and a loss is worth 0points.(A) How many possible outcomes for the individual games are there, such that overallplayer A ends up with 3 wins, 2 draws, and 2 losses?(B) How many possible outcomes for the individual games are there, such that A endsup with 4 points and B ends up with 3 points?(C) Now assume that they are playing a best-of-7 match, where the match will end assoon as either player has 4 points. For example, if after 6 games the score is 4 to 2 infavor of A, then A wins the match and they don’t play a 7th game. How many possibleoutcomes for the individual games are there, such that the match lasts for 7 games andA wins by a score of 4 to 3?
Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

Answer:

A) the possible outcomes for individual game is 210 games.

B) The possible outcome for this is 357 games.

C) Then the Possible Games are 267 games.

Step-by-step explanation:

A) Total number of individual games are 7 in which A ends up with 3 wins which give 4 remaining games. then there are two draw games from them. and in the end the remaining games are losses so,we useformula for combination:

                       (7C3)*(4C2)=210 \ games

B) Now Player A has 4 point that gives us 5 possibilities until we reach 7 games. Similarly B have 3 points which is same as player A gives us 5 possibilities until we reach 7 games. thus those two cases for player A and Player B can be stated as:

           (7C3)+(7C3)*(4C2)+(7C1)*(6C6)+(7C2)*(5C4)=357\  games

C) Lets say that player A ahs 4 points and player B has 3 points and all seven games have been played so.

c1) If player A has 4 wins and 3 losses then last win have to be in 7th match thus:the answer is (6C3).

c2) If player A has 3 win, 2 draws and 3 losses thus it means that final match cannot be a loss thus the answer is (6C2)*(5C3).

c3) Now lastly if player A has 1 win and 5 draws we can arrange them arbitrarily thus the answer here is (7C1).

c4) now If player A has 2 wins, 4 draws and 2 losses thus answer is (6C1)*(6C2)

Sum of all the cases is

               (6C3)+(6C2)*(5C3)+(7C1)+(6C1)*(6C2)=267\ games

You might be interested in
Solve quations with variables on both sides -2b=-5(b-6)
NikAS [45]
The answer to the question  is
b=10<span />
3 0
3 years ago
Read 2 more answers
You are given 6 color cards: 1 red, 2 blue, 3 green. As you draw a card, YOU WILL KEEP IT. What is the probability of drawing a
nikitadnepr [17]

Answer:

3/6, 2/5, 0/5

Step-by-step explanation:

4 0
3 years ago
Free brainliest to the first person to answer the question correctly because I wuv ya'll!!!!
VLD [36.1K]

Answer: 81/8

Step-by-step explanation:

5 0
3 years ago
I don’t understand this can someone please please help!!!!!!!!!!
AnnyKZ [126]

Answer:

172 ft 2

Step-by-step explanation:

SA=2lw+2lh+2hw, for

A=2(lw + lh + hw)=2·(7 · 2+ 8 · 2 + 8 · 7)= 172 ft 2.

Hope this helps,

Best of Luck!

8 0
3 years ago
Can someone help me ​
Sloan [31]

Answer:

The volume is 75

Step-by-step explanation:

because the volume is the width, length, and height, add them together.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Determine what type of decimal each is.<br> 8.54
    6·1 answer
  • The sum of three consecutive even integers is 36. Let x represent the first integer, x + 2 represent the second integer, and x +
    5·1 answer
  • If you invest $100 into savings account That earns 3% interest for 3 years what is the amount of simple interest you earned at t
    13·1 answer
  • 1. What measure of variability is the simplest?
    10·1 answer
  • At a football stadium, 20% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium, what wa
    6·2 answers
  • Solve the equation : 7(x + 6) + 7x = 9 options 2 5/14, -1 5/14, -2 5/14, 5/14
    15·1 answer
  • The owners of an amusement park want to add more rides and an arcade in an open field.Beloe is a sketch of their plan. the owner
    13·1 answer
  • 11 = 1 + 3r + 2r<br><br> I really need help with this!!
    11·2 answers
  • Solve these One Step Equations
    6·2 answers
  • Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!