Question

The spinner shown is equally likely to stop in any one of the equal regions. Find the theoretical probability that it will stop on a prime number.

Answer 1

Given :  A spinner with numbers 1 , 2 , 4 , 6 , 8 , 10

To find :  theoretical probability that it will stop on a prime number

Solution:

Numbers on spinner   are  1 , 2 , 4 , 6 , 8 , 10

S = { 1  , 2 , 4 , 6 , 8 , 10}

Total numbers = 6

n(S) = 6

Prime number  , 2 is the only prime number

E is the event that Spinner stops on prime number

E = { 2)

n(E) = 1

probability that spinner will stop on a prime number   = n(E)/n(S)

= 1/6

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