Catherine has a number cube that has 6 faces that are numbered from 1 through 6. She plans on rolling the number cube 60 times. About how many times should she expect to roll a number that is greater than 4?

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Answer:

20 times

Step-by-step explanation:

We are given a cube that has s 6 faces that are numbered from 1 through 6.

She  expect to roll a number that is greater than 4 .

A number greater than 4 of dice = 5 or 6

Probability of getting 5  = [tex]\frac{\text{favorable event}}{\text{total events}}[/tex]

Favorable event ={5}=1

Total events ={1,2,3,4,5,6}=6

So probability of getting 5  = [tex]\frac{1}{6}[/tex]

Probability of getting 6  = [tex]\frac{\text{favorable event}}{\text{total events}}[/tex]

Favorable event ={6}=1

Total events ={1,2,3,4,5,6}=6

So probability of getting 6  = [tex]\frac{1}{6}[/tex]

Thus the probability of getting 5 or 6 = [tex]\frac{1}{6}+\frac{1}{6}[/tex]

                                                              = [tex]\frac{2}{6}[/tex]

                                                               = [tex]\frac{1}{3}[/tex]

Since  She plans on rolling the number cube 60 times

So,she expect to roll a number that is greater than 4=  [tex]60*\frac{1}{3}[/tex]

                                                                                             =20

Hence she should expect 20 times to roll a number that is greater than 4

Answer:

20 times or A

Step-by-step explanation: