Prove that if E and F are independent events, then so are the events E and F'.

If two events are independent, then

If events A and B are independent, then P(A cap B) =

Two events A and B will be independent if

Two events A and B will be independent if

If A and B are independent events such that P(A) gt 0, P(B) gt 0 , then

A die is throuwn. If E is the event the number appearing is a multiple of 3 and F be the event the number appearing is even then prove that E and F are independent events.

If bar (E )and bar(F) are complementary events of events E and F respectively and 0 lt P(F) lt 1 , then :

An unbiased die is thrown twice. Let the event A be 'odd number on the first throw' and B the event 'odd number on the second throw'. Check the independence of the events A and B.

Let E^(c ) denote the complement of an event E . Let E,F ,G be pair - wise independent events with P(G) gt 0 and P(E ca p F cap G) = 0 . Then P(E^(C )cap F^(C )//G) equals :