Question

For independent events A and B, what is the probability that at least one occurs?

Options

• \[P(A\cup B)=P(A')P(B')\]

• \[P(A\cup B)=1-P(A)P(B)\]

• \[P(A\cup B)=1-P(A')P(B')\]

• \[P(A\cup B)=P(A)P(B)\]

Answer 1

For independent events A and B, at least one occurs unless both A' and B' occur. Hence, \[P(A\cup B)=1-P(A')P(B')\].