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Damm [24]
3 years ago
7

At a carnival game, you randomly throw two darts at a board with 15 balloons and break two balloons. What is the probability tha

t both the balloons you break are purple? Write your answer as a fraction or percent rounded to the nearest tenth.
Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

It doesn't sa how many balloons are purple but ill still help u

This is an dependent variable and let x stand for the number of purple balloons

the chance that u hit a purple with teh first dart is x/15

The chance that u hit a purple with the second dart is x-1/14

the answer is x/15 times x-1/14


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  • Blank 1:  4
  • Blank 2:  -1

So the solution is (x,y) = (4, -1)

=============================================================

Work Shown:

6x + 7y = 17

6x + 7( y ) = 17

6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11

6x - 21x + 77 = 17

-15x = 17-77

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x = -60/(-15)

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We'll use this x value to find y

y = -3x+11

y = -3(4)+11 ... replace x with 4

y = -12+11

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We have  x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)

------------------------

To check the solution, we plug x = 4 and y = -1 into each equation

Plugging the values into the first equation leads to...

y = -3x+11

-1 = -3(4)+11

-1 = -1

This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.

We'll need to verify the second equation as well.

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6(4) + 7(-1) = 17

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17 = 17

We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.

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