An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.
A coin has two faces: head $(H)$ and tail $(T)$.
A die has six faces that are numbered from $1$ to $6,$ with one number on each face.
Thus, in the given experiment, the sample space is given by
$S =\{ HH , \,HT , \,T1, \,T2, \,T3,\, T4, \,T5,\, T 6\}$
Suppose that a die (with faces marked $1$ to $6$) is loaded in such a manner that for $K = 1, 2, 3…., 6$, the probability of the face marked $K$ turning up when die is tossed is proportional to $K$. The probability of the event that the outcome of a toss of the die will be an even number is equal to
In a throw of a dice the probability of getting one in even number of throw is
An anti aircraft gun take four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shot are $0.4, 0.3, 0.2$ and $0.1$ respectively. The probability that the gun hit the plane is :-
From the word `$POSSESSIVE$', a letter is chosen at random. The probability of it to be $S$ is
A bag contains $3$ red and $5$ black balls and a second bag contains $6$ red and $4$ black balls. A ball is drawn from each bag. The probability that one is red and other is black, is