Question

Bill is playing a game of chance of the school fair
He must spin each of these 2 spinners
If the sum of these numbers is an even number, he wins a prize.

What is the probability of Bill winning?
What is the probability of Bill spinning a sum greater than 15?

Answer 1

Given :   Bill is playing a game of chance of the school fair

He must spin each of these 2 spinners

If the sum of these numbers is an even number, he wins a prize.

To Find : probability of Bill winning?

probability of Bill spinning a sum greater than 15

Solution:

                     8           4            2             1

      7            15           11           9             8

      9            17           13          11             10

      5            13           9            7             6

      3             11           7            5             4

There are total 16 possible out puts

Even sum are      8 , 10 , 6 ,  4     hence 4 favorable outcomes

probability of Bill winning  = 4/16  = 1/4

17 is the only sum greater than 15

Hence probability of Bill spinning a sum greater than 15  = 1/16

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