A game consists of a spinning arrow that comes to rest pointing at one of the numbers 1,2,3,4,5,6,7,8,9,10,11,12; as shown below. If the outcomes are equally likely, find the probability that the pointer will point at a number between 3 and 11.
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Solution
We have,
Total number of possible outcomes =12
Favorable outcomes for a number between 3 and 11 are 4,5,6,7,8,9,10
So. the number of favorable outcomes =7
Hence, P(the pointer will be at a number between 3 and 11)=7/12