Question

compound probabilities-mutually exclusive events

a spinner is divided into 5 sections, labeled a, b, c, d, and e. what is the probability the spinner lands on a or b?

\\(p(a \text{ or } b) = ?\\%\\)

round your answer to the nearest whole percent.

Explanation:

Identify the total number of outcomes

Using the Theoretical Probability knowledge point

$$ n(S) = 5 $$

Determine the number of favorable outcomes

Using the Theoretical Probability knowledge point

$$ n(A \text{ or } B) = 2 $$

Calculate the probability of landing on A or B

Using the Mutually Exclusive Events knowledge point

$$ P(A \text{ or } B) = P(A) + P(B) = \frac{1}{5} + \frac{1}{5} = \frac{2}{5} = 0.4 $$

Convert the probability to a percentage

Using the Theoretical Probability knowledge point

$$ P(A \text{ or } B) = 0.4 \times 100\% = 40\% $$

Answer:

A spinner is divided into 5 sections, labeled A, B, C, D, and E. What is the probability the spinner lands on A or B?

\(P(\text{A or B}) =\) <blank>40</blank>%

Round your answer to the nearest whole percent.