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
forsale [732]
3 years ago
9

Five distinct numbers are randomly distributed to players numbers 1 through 5. Whenever two playerscompare their numbers, the on

e with the higher one is declared the winner. Initially, players 1 and 2compare their numbers; the winner then compares her number with that of player 3, and so on. LetXdenote the number of times player 1 is a winner.
Mathematics
1 answer:
ad-work [718]3 years ago
7 0

Answer:

Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that  

P(X=0)=\frac{1}{2}

<u>Event X = 1 </u>means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

P(X=1)=\frac{1}{6}

<u>Event X = 2</u> means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

P(X=2)=\frac{1}{12}

<u>Event X = 3</u> means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence  

P(X=3)=\frac{1}{20}

<u>Event X = 4</u> means basically the first player has won all the battles i.e, he has got the greatest number. Hence

P(X=4)=\frac{1}{5}

You might be interested in
Rectangle ABCD is congruent to rectangle A″B″C″D″ . Which sequence of transformations could have been used to transform rectangl
alexira [117]

Answer:

no body in the world can answer this and how long did u type this

8 0
3 years ago
Solve please. Correctly<br> -2x + 5x = 3x - 3
Ugo [173]
3x=3x -3 which would equal infinite or no solution. Hope this helps !
8 0
3 years ago
Read 2 more answers
Find the slope:<br> y = -X – 1
gogolik [260]

Answer:

The slope would be -x

Step-by-step explanation:

The second number in the equations y=mx+b is always the slope unless you have to plug in number and do all kinds of stuff but that's not whats in the problem now.

3 0
3 years ago
Read 2 more answers
Multiple Representations  Simplify this expression. Use pencil and paper. Write at least two expressions equivalent to this one.
allsm [11]

what are the expressions?

6 0
3 years ago
Horatio is solving the equation -3/4+2/5x=7/20x-1/2. Which equations represent possible ways to begin solving for x? Check all t
trapecia [35]

Answer:

  • 2/5x=7/20x+1/4
  • -3/4=-1/20x-1/2
  • -3/4+1/20x=-1/2

Step-by-step explanation:

If you add 3/4 to both sides of the equation, you get ...

... 2/5x = 7/20x + 1/4 . . . . first choice

If you subtract 2/5x from both sides of the equation, you get ...

... -3/4 = -1/20x -1/2 . . . . third choice

If you subtract 7/20x from both sides of the equation, you get ...

... -3/4 +1/20x = -1/2 . . . . last choice

Choices 2 and 4 are erroneous versions of choices 1 and 3, so do not apply.

4 0
3 years ago
Read 2 more answers
Other questions:
  • -1/3x-2/3y=5/3 the slope and y intercept
    12·1 answer
  • Please can someone help me asap
    8·1 answer
  • What is the height of an isosceles trapezoid, if the lengths of its bases are 5m and 11m, and the length of a leg 4m.
    13·1 answer
  • Which is the best first step and explanation for solving this system of equations?
    13·2 answers
  • Which statement about the following argument is true?
    5·2 answers
  • What is the answer 4x - 12x - x
    13·2 answers
  • 225 as a fraction form
    5·1 answer
  • 8x+10y=12 solve for Y show your work
    5·2 answers
  • را آزرا<br> What is the value of x in the proportion?
    13·2 answers
  • An elevator is on the tenth floor and drops 7 floors but then rises 12 floors. On what floor is the
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!