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
Elden [556K]
1 year ago
8

Matt and Ryan are playing an exciting round of Rock Paper Scissors: The Collectible Card Game. Matt is convinced that Rock can b

eat anything, so his deck consists only of 8 Rock cards. Ryan's deck consists of 5 Paper cards and 3 Scissors cards. In the game, Matt randomly selects 3 cards from his deck and places them on the table. Ryan then randomly selects 3 cards and places one on each of Matt's cards. If Rock beats Scissors, Scissors beats Paper, and Paper beats Rock, then what's the probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row?
Mathematics
1 answer:
kiruha [24]1 year ago
4 0

Using the hypergeometric distribution, there is a 0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

For this problem, we have that Ryan will win if he takes 3 Paper cards from a set of 8(5 paper and 3 scissors), hence the parameters are given as follows:

N = 8, k = 5, n = 3, x = 3.

Hence the probability is given by:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 3) = h(3,8,3,5) = \frac{C_{5,3}C_{3,0}}{C_{8,3}} = 0.1786

0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

#SPJ1

You might be interested in
WILL REWARD BRAINLIEST (40 POINTS PLEASE HELP)
Luba_88 [7]

Answer:

first of all I can't see nothing

3 0
3 years ago
Read 2 more answers
7 apples cost 4.55 dollars how much do 9 apples cost
Lubov Fominskaja [6]
To calculate how much 9 apples cost, you must multiply 9 to 4.55 and then divide by 7. This is done by setting up a proportion.
7 0
3 years ago
Please help I suck at this kind of math
hammer [34]

Answer:

I am sorry, I am only in middle school... I am learning about like the questions I have been asking

Step-by-step explanation:

I really hope you get the question answered and get it correct

3 0
3 years ago
Please explain step by step on how you got the answer.
Jobisdone [24]
The answer is 21

First you po perenthies which would be 8-6=2 the equation now is 5+4×(2)2

Then you to exponents which would be 2×2=4 the equation now is 5+4×4

Now you multiply 4×4=16 the equation is now 5+16

Now you add 5 and 16 to get 21
7 0
3 years ago
. What are the lower, middle, and upper quartiles of this data? 23, 15, 22, 15, 23, 15, 13, 21, 14 a. lower: 15, middle: 15, upp
icang [17]
The correct answer us D. lower: 14.5 middle: 15 upper: 22.5
4 0
3 years ago
Read 2 more answers
Other questions:
  • In this graph the y-intercept of the line is (Blank). The equation of the line is y=(Blank) x (Blank) .
    14·1 answer
  • For each of the following pairs of numbers, find the gcd of the two numbers, and express the gcd as a linear combination of the
    12·1 answer
  • Consider the original rectangle and the rectangle that has been reduced by 0.5.
    11·1 answer
  • Is 7.7777777777 an irrational number
    5·2 answers
  • 6 (a+8) please tell me the answer
    8·1 answer
  • What is the radius and diameter of the following circle?
    15·1 answer
  • 4.
    14·1 answer
  • Topic: Central and Inscribed Angles
    9·1 answer
  • 7x − 11 = 31<br> pls help me with this question
    11·2 answers
  • Find the following sums ( for letter C)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!