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.

Vedclass pdf generator app on play store
Vedclass iOS app on app store

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

$S =\{ HH , \,HT , \,T1, \,T2, \,T3,\, T4, \,T5,\, T 6\}$

Similar Questions

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

  • [IIT 2005]

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