Question

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 less than or equal to $9$.

Answer 1

We have,

Total number of possible outcomes $=12$

Favorable outcomes for a number less than or equal to $9$ are $1,2,3,4,5,6,7,8,9$

So, the number of favorable outcomes $=9$

Hence, $P($the pointer will be at a number less than or equal to $9$) $=9/12=3/4$