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sveta [45]
1 year ago
12

If three standard six-sided die were rolled with the numbers showing on each recorded, how many equally likely outcomes would be

in the sample space?
Mathematics
1 answer:
Kazeer [188]1 year ago
8 0

Answer:

216

Step-by-step explanation:

You are rolling three die three times

a die has six sides

to obtain the sample space

we would have to multiply 6 x 6  x 6

which could account for the three roles which would be equivalent to the sample space

6^3

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From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men in the delegation?
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Answer:

The expected number of men in the delegation is 0.86.

Step-by-step explanation:

Number of men = 3

Number of women = 4

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P(X=0)=\dfrac{^3C_0\times ^4C_2}{^7C_2}=\dfrac{2}{7}

P(X=1)=\dfrac{^3C_1\times ^4C_1}{^7C_2}=\dfrac{4}{7}

P(X=2)=\dfrac{^3C_2\times ^4C_0}{^7C_2}=\dfrac{1}{7}

The expected number of men in the delegation is

E(x)=0\times P(X=0)+1\times P(X=1)+2\times P(X=2)

E(x)=0\times \dfrac{2}{7}+1\times \dfrac{4}{7}+2\times \dfrac{1}{7}

E(x)=\dfrac{6}{7}

E(x)\approx 0.86

Therefore, the expected number of men in the delegation is 0.86.

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3 years ago
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