Question

A and B are two possible events which satisfy P(A И B) = P(A З B), then which is always true -

• A. P \left( \frac { \mathrm { A } } { \mathrm { B } } \right) = P(1)
• B. P \left( \frac { \mathrm { A } } { \mathrm { B } } \right) < \frac{1}{2}
• C. P < \frac{1}{2>
• D. P \left( \frac { \mathrm { A } } { \mathrm { B } } \right) \neq P \left( \frac { B } { \mathrm {~A} } \right)

Answer 1

Answer: (C)

P < \frac{1}{2>

Answer 2

P(A И B) = P(A З B) Ю $\mathrm { A } = \mathrm { B }$

P $\left( \frac { \mathrm { A } } { \mathrm { B } } \right)$ = = $\frac { \mathrm { P } ( \mathrm { B } \cap \mathrm { B } ) } { \mathrm { P } ( \mathrm { B } ) }$ = = 1

similarly = 1 Ю (3) is always correct.