Question

compound probabilities-mutually exclusive events

a multiple choice question has 5 options labeled a, b, c, d, and e. what is the probability of selected c or d?

\\(p(\text{c or d}) = ?\\%\\)

round your answer to the nearest whole percent.

Explanation:

Identify individual probabilities

$$ P(C) = \frac{1}{5} = 0.2,\quad P(D) = \frac{1}{5} = 0.2 $$

Apply mutually exclusive addition rule

$$ P(C \text{ or } D) = P(C) + P(D) = 0.2 + 0.2 = 0.4 $$

Convert to percentage

$$ 0.4 \times 100\% = 40\% $$

Answer:

A multiple choice question has 5 options labeled A, B, C, D, and E. What is the probability of selected C or D?

\(P(\text{C or D}) =\) <blank>40</blank>%