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
katen-ka-za [31]
3 years ago
15

In a competition between players X and Y, the first player to win three games in a row or a total of four games wins. How many w

ays can the competition be played if X wins the first game and Y wins the second and third games? (Hint: Draw a tree.)

Mathematics
1 answer:
OLEGan [10]3 years ago
7 0

Answer:

The competition can be played in 7 different ways

Step-by-step explanation:

First game : X

Second game : Y

Third game : Y

After that either X or Y can win

<h3>¹Case - 1: Y wins the fourth game:</h3>

The competition ends with Y winning as he/she won 3 games in a row

<h3>Case - 2: X wins the fourth game:</h3>

more games are required to decide the winner

<h3>Sub-case - a: X wins the fifth game:</h3>

more games are required to decide the winner

<h3>²Sub-sub-case - i: X wins the sixth game:</h3>

The competition ends with X winning as he/she won 3 games in a row

<h3>³⁻⁴Sub-sub-case - ii: Y wins the sixth game:</h3>

The competition ends after the seventh game. Whoever wins seventh game wins the competition as he/she would've won 4 games in total by then.

<h3>Sub-case - b: Y wins the fifth game:</h3>

more games are required to decide the winner

<h3>⁵Sub-sub-case - i: Y wins the sixth game:</h3>

The competition ends with Y winning as he/she won 4 games in total

<h3>⁶⁻⁷Sub-sub-case - ii: X wins the sixth game:</h3>

The competition ends after the seventh game. Whoever wins seventh game wins the competition as he/she would've won 4 games in total by then.

∴<u>The competition can be played in 7 different ways</u>

You might be interested in
Solve the inequality 5(2h+8)&lt;60
Bezzdna [24]

Answer and Step-by-step explanation:

Greetings!

Let's~answer~your~question!

First, ~let's~ work~ on ~the~ left~ hand ~side~ of ~your ~inequality,~ the~ 5(2h+8)~This\\ means,~ for~ instance, ~to ~see ~if ~it ~can~ be ~simplified ~at~ all.~Multiply~ h ~and~ 2

The~ answer~ is~ h

2\times h~ evaluates~ to~ 2h

2\times h+8 ~evaluates~ to~ 2h+8

Multiply ~5~ by~ 2h+8

we ~multiply~ 5~ by~ each ~term ~in~ 2h+8 ~term ~by~ term~and~we~use~distributive~\\property.

Multiply ~5 ~and~ 2h

5\times2h=10h

Multiply~ 5 ~and ~8

5 \times 8 = 40

3 0
2 years ago
A father is 60 years old and his son is half his age. How old was the boy when his father was four times his age?
Archy [21]
He would be 120 yrs old because 60 times 4 is 240 and the son is half of his age so 240 divided by 2 is 120 hope this helped
5 0
2 years ago
Read 2 more answers
The libraries in four counties assess late fees for overdue videos by using linear functions. Each library charges a base amount
Sindrei [870]

Answer:

Cumberland and Lincoln


5 0
3 years ago
Read 2 more answers
Write the number 3/100 as a decimal.
lianna [129]

Answer:

Step-by-step explanation

0.03.

7 0
3 years ago
Simplify.
Ugo [173]


so you take -10.5+5.3+20.2=??

-10.5+5.3=-5.2

-5.2+20.2=15

Ur Answer Is 15

Did I Help??

Hope I Did!!


7 0
2 years ago
Read 2 more answers
Other questions:
  • B is the midpoint of line segment AC. Line segment AB=2x+4 and line segment AC=40. Find x and Line Segment BC.
    15·1 answer
  • The graph shows y as a function of x: In which segment is the function constant?
    6·2 answers
  • The measure of one angle of a triangle is 55 degrees. The measure of the third angle is 20 degrees more than twice the second an
    9·1 answer
  • 7.8number 14 please help it’s due in tomorrow and I really don’t want a detention
    7·1 answer
  • What is 7,298,341 rounded to the nearest 10000
    5·2 answers
  • NEED NOW!!!
    12·2 answers
  • Dorothy is a fourth-grade teacher at an all-girls school. She calls on one of her students to give a presentation on the differe
    6·2 answers
  • The kite is made of two triangles. Are they isoscele, equilateral, or scalene triangles?
    13·1 answer
  • Geometry- please explain when you answer. #16
    15·1 answer
  • 67 is __________ times less than what number?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!