Question

For \[E\cap F=\{6\}\] when a die is thrown once, what is \[P(E\cap F)\]?

Options

• \[P(E\cap F)=\frac{1}{2}\]

• \[P(E\cap F)=\frac{1}{3}\]

• \[P(E\cap F)=\frac{1}{6}\]

• \[P(E\cap F)=\frac{5}{6}\]

Answer 1

The event \[E\cap F\] contains only the outcome 6. Since there are six equally likely outcomes, \[P(E\cap F)=\frac{1}{6}\].