Short Quiz

If E and F are two events such that \(\mathrm{P}(\mathrm{E})>0\) and \(\mathrm{P}(\mathrm{F}) \neq 1\), then \(\mathrm{P}(\overline{\mathrm{E}} / \overline{\mathrm{F}})\) is

A circular wheel with numbers 1 to 20 on its surface is rolled twice. What is the probability of getting two 13's ?

If \(P(B)=3/5\), \(P(A\mid B)=1/2\), and \(P(A\cup B)=4/5\), then \(P((A\cup B)^{\prime})+P(A^{\prime}\cup B)\) equals

If E and F are two independent events such that \(\mathrm{P}(\mathrm{E})=\frac{3}{10}, \mathrm{P}(\mathrm{E} \cup \mathrm{F})=\frac{1}{2}\), then \(\mathrm{P}(\mathrm{E} \mid \mathrm{F})-\mathrm{P}(\mathrm{F} \mid \mathrm{E})\) is equal to :