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masha68 [24]
3 years ago
14

A cube has six sides that are numbered 1 to 6. The sides numbered 1, 2, and 5 are green, and the sides numbered 3, 4, and 6 are

red. What is the probability of rolling the cube and getting a green or even number?
0
5/6
1
Mathematics
2 answers:
Masteriza [31]3 years ago
6 0

Answer:

P(A\cup B)=\dfrac{5}{6}

B is correct.

Step-by-step explanation:

A cube has six sides that are numbered 1 to 6.

The sides numbered 1, 2, and 5 are green.

The sides numbered 3, 4, and 6 are red.

Sample Space: 1G, 2G, 5G, 3R, 4R, 6R

We need to find the probability of rolling the cube and getting a green or even number.

Let A be event getting green and B be event getting even number.

P(A)=\dfrac{3}{6}

P(B)=\dfrac{3}{6}

P(A\cap B)=\dfrac{1}{6}

The probability of rolling the cube and getting a green or even number.

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=\dfrac{3}{6}+\dfrac{3}{6}-\dfrac{1}{6}

P(A\cup B)=\dfrac{5}{6}

Hence, The probability of rolling the cube and getting a green or even number is 5/6

gayaneshka [121]3 years ago
5 0
5/6 because 1 and 5 are odd numbers
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Answer:

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And the best option would be:

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=19.1 represent the sample mean

\mu population mean (variable of interest)

s=1.5 represent the sample standard deviation

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Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

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Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that t_{\alpha/2}=

Now we have everything in order to replace into formula (1):

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19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

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