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Lemur [1.5K]
3 years ago
6

Rachel plays a game by rolling two number cubes with sides numbered 1 through 6 to win the game the sum of the numbers facing up

musst be 10 what is probability that Rachael will win the game
Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

The probability that Rachel will win the game is: 1/12

Step-by-step explanation:

The number cubes has six sides numbered between 1 to 6. the chances of each number are equally likely

Let S be the sample space

The sample space has 6*6 = 36 outcomes.

Now, Let A be the event that the sum of numbers on both number cubes is 10

A = {(4,6),(5,5), (6,4)

n(A) = 3

P(A)= \frac{n(A)}{n(S)}\\=\frac{3}{36}\\=\frac{1}{12}

The probability that Rachel will win the game is: 1/12

Keywords: Probability, Sample

Learn more about probability at:

  • brainly.com/question/9729310
  • brainly.com/question/9738996

#LearnwithBrainly

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Use the substitution method to solve the system of equations. Choose the correct ordered pair.
motikmotik
Ur gonna have to pick an equation and solve for a variable.

2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3

now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
        -42          -42
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14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3

now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6

solution is (6,3)

it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)

so yes, ur solution is (6,3)
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2 years ago
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