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
Evaluate the expression.<br> Drag the answer into the box to match the expression.
Lelu [443]

27.((3^{3})^{-1}  = 27.(27)^{-1} = 27 .\frac{1}{27} = 1

This is because 3^{3} = 3 x 3 x 3 = 9 x 3 = 27

And (27)^{-1}  means  \frac{1}{27}

For this reason, 27. (27)^{-1} = 1

Positive indices mean we have to multiply the same number twice or thrice based on the value of the index. On the other hand, negative indices mean we have to divide by the same number twice or thrice based on the value of the index.

5 0
2 years ago
Read 2 more answers
5 miles 1.61 km - 80.5 miles
11111nata11111 [884]

Answer:he has the wrong unit

Step-by-step explanation:

Uhhhhh cuz I'm rid

Ght

5 0
3 years ago
Read 2 more answers
To decorate the bulletin board,Wanda cut a length of ribbon into 7 equal sections,with a 16.2- inch piece of ribbon left over.Th
KIM [24]

Part A Equation and Solve: (16.2x7)  Answer: 113.4


Part B Ribbon: 113.4 x4


Part C Combining: 340.2




4 0
3 years ago
HELP NOW PLEASE I WILL GIVE BRAINLIEST IT'S URGENT!!!!!!
Degger [83]

Answer:

24

Step-by-step explanation:

y= 24-4x

8 0
3 years ago
Naomi has a toy car collection of 300 toy cars. She keeps 243 of the toy cars on her wall. What percentage of Naomi's toy car co
Inessa05 [86]

Answer:

81%  or .81

Explanation:

243 ÷ 300 = .81

5 0
3 years ago
Other questions:
  • What is the midpoint between -9 and 15 on the number line?<br><br> 3<br> 12<br> 6<br> 2
    12·2 answers
  • 8-2 3/4 please help im so confused...
    9·2 answers
  • What is the order of rotational symmetry for a rhombus?
    10·2 answers
  • A survey of 2541 American households discovered<br> that 64% of the households own one car.
    15·1 answer
  • Madge is the manager at a sports arena that draws an average 3,500 patrons per event. Each ticket taker can process 200 event-go
    5·1 answer
  • Factor 20x^2+15x-35 you must show your work
    7·1 answer
  • Sharon has a coupon for $5 off light bulbs at Lowes. The light bulbs she wants cost $7.50 a package. How much money, m, will she
    11·1 answer
  • Choose all sets that contain the number 5.
    14·1 answer
  • 7. What is a fair price to pay for the spinner game shown here?
    5·2 answers
  • After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!