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# A spinning top is divided in eight parts equal in size. Lucas spins the top twice and adds up the outcomes...

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A spinning top is divided in eight parts equal in size. Lucas spins the top twice and adds up the outcomes. How big of a chance is there that he has a total of 16? And also how big of a chance is there that he has a total of 5?

Feb 27, 2019

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I assume the sections of the top are numbered from 1 to 8.

There are 8*8 = 64 possible outcomes.

There is only one way of getting a total of 16, namely an 8 on the first spin and an 8 on the second spin.  Hence the probability of getting a total of 16 is 1/64.

The ways of getting a total of 5 are:

1st spin   2nd spin

1            4

2            3

3            2

4            1

That is, there are 4 ways of getting a total of 5.  Hence probability is 4/64 or 1/16.

Feb 27, 2019
edited by Alan  Feb 27, 2019

#1
+4

I assume the sections of the top are numbered from 1 to 8.

There are 8*8 = 64 possible outcomes.

There is only one way of getting a total of 16, namely an 8 on the first spin and an 8 on the second spin.  Hence the probability of getting a total of 16 is 1/64.

The ways of getting a total of 5 are:

1st spin   2nd spin

1            4

2            3

3            2

4            1

That is, there are 4 ways of getting a total of 5.  Hence probability is 4/64 or 1/16.

Alan Feb 27, 2019
edited by Alan  Feb 27, 2019