Question

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?

Answer 1

Greater than 4 means either 5 OR 6, that means the probability of getting 5 or 6 is 2/6 ==>1/3

Theoretically she needs 3 Rolls to get a number greater than 4 

Answer 2

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  = $\frac{\text{favorable event}}{\text{total events}}$

Favorable event ={5}=1

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

So probability of getting 5  = $\frac{1}{6}$

Probability of getting 6  = $\frac{\text{favorable event}}{\text{total events}}$

Favorable event ={6}=1

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

So probability of getting 6  = $\frac{1}{6}$

Thus the probability of getting 5 or 6 = $\frac{1}{6}+\frac{1}{6}$

                                                              = $\frac{2}{6}$

                                                               = $\frac{1}{3}$

Since  She plans on rolling the number cube 60 times

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

                                                                                             =20

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