A game consists of spinning arrow which 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: (iii) a prime number (iv) a number greater than 8
A game consists of spinning arrow which 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: (iii) a prime number (iv) a number greater than 8

(iii) Favorable outcomes for a prime number are 2, 3, 5, 7, 11

So, number of favorable outcomes = 5

Hence, P(the pointer will be at a prime number) = 5/12

(iv) Favorable outcomes for a number greater than 8 are 9, 10, 11, 12

So, number of favorable outcomes = 4

Hence, P(the pointer will be at a number greater than 8) = 4/12 = 1/3