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3 years ago

A number cube is rolled twice . What is the probability of getting a 6 on the first roll

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Answer:

1/6 or 0.1666666667%

Step-by-step explanation:

The probability of getting a 6 would be 1/6. There are 5 other sides the die could land on.

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The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea

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Given:

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Sol:.

$N(A\text{ or B)=N(A)+N(B)-N(A and B)}$

N (professors)

$\begin{gathered} =6+9 \\ =15 \end{gathered}$

N(Male)

$\begin{gathered} =6+5 \\ =11 \end{gathered}$

N(professors and male)

$=6$

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

$\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}$

N(People to choose from)

$\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}$

Then probablitiy is:

$\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}$

Then the probability is 10/13

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