Question

In a game of chance there is spinning of an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and there are equally likely outcomes. What is the probability that it will point at a number greater than 8 and less than 8?​

Answer 1

$\frac{7}{8}$

Step-by-step explanation:

Numbers on the game of chance wheel = 1, 2, 3, 4, 5, 6, 7 and 8

Number of numbers on the game of chance wheel = 8

∴ Number of total possible outcomes = 8

Numbers greater than 8 on the wheel = 0

Numbers less than 8 on the wheel = 1, 2, 3, 4, 5, 6, and 7

Number of numbers less than 8 on the wheel = 7

∴ Number of favourable outcomes = 7

Probability =

$\frac{Number \: of \: favourable \: outcomes }{Number \: of \: total \: possible \: outcomes}$

∴ P(getting a number greater than 8 or less than 8) =

$\frac{7}{8}$

Hence, the probability of getting a number greater than 8 or less than 8 in the game of chance is

$\frac{7}{8}$