When a dice is rolled, total number of possible outcomes are

Correct option is (C) 6 Possible outcomes when a die is thrown are 1, 2, 3, 4, 5 and 6. \(\therefore\) Number of possible outcomes when a die is thrown is 6.

Correct option is (D) 36 When two dice are thrown then total outcomes are \(6\times6=36.\) Alternative :- When two dice are thrown then possible outcomes are \(S=\begin{Bmatrix}(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),\\(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),\\(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),\\(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),\\(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),\\(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\end{Bmatrix}\) \(\therefore\) Total outcomes = 36

Correct option is (B) 2 When a coin is tossed there is only two outcomes are possible, either head occurs or tail occurs. Hence, total outcomes = 2

Correct option is (A) 8 Three coins are tossed simultaneously then possible outcomes are S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. \(\therefore\) The number of all possible outcomes is n(S)...

C) Both (i) & (iv)

Correct option is (A) 1/6 Possible outcomes are S = {1, 2, 3, 4, 5, 6} \(\therefore\) n(S) = 6 Number which is a perfect square and a perfect cube is 1.    \((\because1^3=1\;\&\;1^2=1)\) Hence, favourable outcome...