Consider the experiment in which a coin is tossed repeatedly until a head comes up. Describe the sample space.
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
$S =\{ H , \,TH , \,TTH , \,TTTH ,\, TTTTH,$ ........ $\}$
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