Pairwise and mutually independent events

If A, B and C are mutually independent events, prove that the events (A cup B) and C are also independent events.

If A,B and C are mutually independent events then prove that A uu B and C are also independent

If for two events A and B, P(A) = P (A/B) = 1/4 and P (B/A) = 1/2 , show that A and B are two mutually independent events.

Explain the concepts of pairwise independence and mutual independence of events.

If A ,B ,C be three mutually independent events, then Aa n dBuuC are also independent events. Statement 2: Two events Aa n dB are independent if and only if P(AnnB)=P(A)P(B)dot

If A ,B ,C be three mutually independent events, then Aa n dBuuC are also independent events. Statement 2: Two events Aa n dB are independent if and only if P(AnnB)=P(A)P(B)dot

If A ,B ,C be three mutually independent events, then Aa n dBuuC are also independent events. Statement 2: Two events Aa n dB are independent if and only if P(AnnB)=P(A)P(B)dot

Let A,B, C be three mutually independent events. Consider the two statements S_(1)and S_(2). {:(S_(1):A and B nnC "are independent.",),(S_(2):A and B nnC "are independent.",):} Then