Let S be the sample space of the random experiment of rolling a fair die. Define `X : S rarr R` by `X(n) = {("0 If n is even"),("1 If n is odd"):}` Find P'.

Let S be the sample space of the random experiment of throwing simultaneously two unbaised dice with six faces (numbered 1 to 6) and let E_(1) ={(a,b), epsi S:ab =k} for kge 1

Let S be the sample space of the random experiment of throwing simultaneously two unbaised dice with six faces (numbered1 to 6) and let E_(k) = {(a,b) in S : ab = k} for k ge 1 . If P_(k) = P(E_(k)) for kge 1 then the correct, among the following is

Suppose S={1,2,3,4} is the sample space of a random experiment, Suppose P(1)=x , P(2)=2x , P(3)=3x , and P(4)=4x , where P is a probability function . Find x.

If f:{1,2,3,....}rarr{0, pm 1, pm2, .....} is defined by f(n)= {:{(n//2 , "if n is even"),(-((n-1)/(2)), "if n is odd"):} then f^(-1)(-100) is

If f:{1, 2, 3,……}rarr{0, pm1, pm2, …..} is defined by f(x)={{:(n//2,"if n is even"),(-((n-1)/(2)),"if n is odd"):} then f^(-1)(-100) is