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3 years ago

Find the probability of rolling a multiple of 2.

Mathematics

2 answers:

dsp733 years ago

8 0

You would get a 1/2 probability of rolling a 2 on a 6 sided dice

maw [93]3 years ago

3 0

the multiples of 2 in a die are 2, 4, and 6.

1, 3, and 5 are not multiples of 2.

that means half of the numbers of the die are multiples of 2.

the probability of rolling a multiple of 2 is 1/2

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Answer:

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Step-by-step explanation:

$\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\$

$-\frac{-32-\left(-16\right)}{8}=2\\x=2\\x=2,\:y=-16$

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