A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 3 or greater than 8 in a single spin?

Answer:[tex]P = 0.4[/tex]Step-by-step explanation:If each number X has the same probability of occur then the probability for each number is:[tex]P = \frac{1}{10}[/tex]Note that X is a discrete random variable, and the probability of obtaining an X number is independent for each trial.So the probability that X is less than 3 is:[tex]P (X <3) = P (1) + P (2)[/tex]But [tex]P (1) = P (2) = \frac{1}{10}[/tex]So:[tex]P (X <3) = P (1) + P (2) = \frac{2}{10} = \frac{1}{5}[/tex]Also[tex]P (X> 8) = P (9) + P (10) = \frac{1}{10} = \frac{1}{5}[/tex]Finally[tex]P (X <3\ or\ X> 8) = \frac{1}{5} +\frac{1}{5} = \frac{2}{5} = 0.4[/tex]