Question

A circular spinner is divided into 20 equal sections, each represented by a number from 1-20.Solve the probability that a spin lands on a number less than 8? Give your answer as a percent.Show your work and explain the steps you used to solve.

Answer 1

The condition 'less than 8' is satisfied if the spinner lands on 1,2,3,...,6,7; therefore, 7 sections out of 20 correspond to a successful outcome.

Since the probability of landing on any region is the same as landing on any other region,

$P(X<8)=\frac{7}{20}=0.35=35\%$

Therefore, the answer is 35%