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Verdich [7]
1 year ago
6

a game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you

lose a dollar. would you play this game or not and why?
Mathematics
1 answer:
nadezda [96]1 year ago
5 0

Yes, I would play the game, because the probability of winning is 13/18.

Probability:

Probability refer the possible occurrence of any particular event.

Given,

A game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you lose a dollar.

Here we need to find whether we able to play this one or not.

To find that one, first, we have to identify the winning scenarios,

Let us consider five winning scenarios. Lets represent the dice outcomes as A, B, C, and D, where your dice are A and B and the other player's are C and D. The five scenarios are:

1) A = B

2) A = C

3) A = D

4) B = C

5) B = D

We know that the total possible outcomes is 6^4. We can go through each scenario and count the possible outcomes. We must be careful to avoid overcounting.

Based on this,

The probability that none match is

=> 6*5*4*3/6^4

=> 360 / 1296

=> 5 / 18

So, probability of winning is,

=> 1 - 5/18

=> 13/18.

So, based on the probability the chance of winning is high. So, we can play it.

To know more about Probability here.

brainly.com/question/11234923

#SPJ4

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10. Create a scenario to explain why 3P3=3!.
Flauer [41]

Step-by-step explanation:

Permutation :The number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.

                                  nPr = \frac{n!}{(n-r)!}

Factorial : There are n! ways of arranging n distinct objects into an ordered sequence.  

Considering a situation when n = r in a permutation, nPr reduces to n!, a simple factorial of n.

Proof: 3P3 = 3!

n = 3 and r = 3

                                   3P3 = \frac{3!}{(3-3)!}

                                   3P3 = \frac{3!}{(0)!}

But 0! = 1

                                    3P3 = 3!

3 0
3 years ago
Read 2 more answers
I don't know what to do
Zarrin [17]
Check the picture below

use the far-arc near-arc equation

bear in mind, your far-arc and near-arc are both in y-terms, so, the angle will be in y-terms as well

3 0
3 years ago
In which equation is the constant of proportionality 5?
Finger [1]
Answer:b.y=5x
this is the answer to your question

8 0
3 years ago
In a survey, 15 high school students said they could drive
OLga [1]

Answer:

No

Step-by-step explanation:

this is because only 50% of the college students said they could drive there fore it doesn't make sense.

6 0
3 years ago
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Is 6+2 +4x equivalent to 6- ( 2-4x) . if not , why not ?
Xelga [282]
Well lets solve for both.
6 + 2 + 4x
Combine like terms.
8 + 4x
Now solve the other one.
6 - (2 - 4x)
Distribute.
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Combine like terms.
4 + 4x.
These equations are not equivalent because instead of adding two, like in the first one, the second problem is subtracting. So you get 8 + 4x and 4 + 4x. I hope this helps love! :)
6 0
3 years ago
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