Consider the experiment in which a coin is tossed repeatedly until a head comes up. Describe the sample space.

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

In the experiment head may come up on the first toss, or the $2^{ nd}$ toss, or the $3^{rd}$ toss and so on till head is obtained. Hence, the desired sample space is

$S =\{ H , \,TH , \,TTH , \,TTTH ,\, TTTTH,$ ........ $\}$

Similar Questions

The probability of choosing at random a number that is divisible by $6$ or $8$ from among $1$ to $90$ is equal to

Describe the sample space for the indicated experiment: A coin is tossed four times.

In a relay race there are five teams $A, \,B, \,C, \,D$ and $E$. What is the probability that $A, \,B$ and $C$ finish first, second and third, respectively.

A problem of mathematics is given to three students whose chances of solving the problem are $\frac{{1}}{{3}} , \frac{{1}}{{4}}$ and $\frac{{1}}{{5}}$ respectively. The probability that the question will be solved is

If in a lottary there are $5$ prizes and $20$ blanks, then the probability of getting a prize is