Show that `n[P [P. (P(phi))) = 4 `

Show that n{P{P(P(varphi))}}=4

Show that n{P{P(P(varphi))}}=4.

If A and B are any two events of a random experiment then show that (i) P(A^(C) nn B^(C)) = P(A^(C)) - P(B) "if A" nn B = phi (ii) P(A^(C)//B^(C)) = (1-P(A uu B))/(1-P(B)) "with P(A)" ne 0 and P(B) ne 1

Let P (n) denote the statement : “ 2^n gen ! ". Show that P(1), P(2) and P(3) are true but P(4) is not true.

Let P(n) denote the statement: 2^(n)ge n! .Show that P(1),P(2),P(3) are true butP(4) is not true.

Show that P(m,1)+P (n,1)=P(M+n,1) for all positive integers m, n.

Show that two cardioids p = a(1 + cos phi) and p = a (1 - cos phi) intersect at right angles

Show that , .^(n)P_(r)=n.^(n-1)P_(r-1)=(n-r+1).^(n)P_(r-1) .