A fair six-sided die is rolled. Let $A=\{1,2\}$ and $B=\{5,6\}$. Explain why $A$ and \(B\

Question

A fair six-sided die is rolled. Let $A=\{1,2\}$ and $B=\{5,6\}$. Explain why $A$ and $B$ are mutually exclusive. Find $P(A\cup B)$. Find the probability that neither event occurs. Are $A$ and $B$ complements? Explain.

Accepted Answer

(a) no overlap; (b) $\frac{2}{3}$; (c) $\frac{1}{3}$; (d) no, outcomes $3, 4$ lie outside both.

Probability

Probability

Solution:

Solution locked