A die is thrown, find the probability of following events: A number less than $6$ will appear,
The sample space of the given experiment is given by
$S=\{1,2,3,4,5,6\}$
Let $E$ be the event of the occurrence of a number less than $6.$
Accordingly, $E =\{1,2,3,4,5\}$
$\therefore P(E)=\frac{\text { Number of outcomes favourableto } E}{\text { Total number of possible outcomes }}=\frac{n(E)}{n(S)}=\frac{5}{6}$
A box contains $1$ red and $3$ identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
The probability of getting a number greater than $2$ in throwing a die is
A locker can be opened by dialing a fixed three digit code (between $000$ and $999$). A stranger who does not know the code tries to open the locker by dialing three digits at random. The probability that the stranger succeeds at the ${k^{th}}$ trial is
The probability of happening an event $A$ in one trial is $0.4$. The probability that the event $A$ happens at least once in three independent trials is
The probability that an ordinary or a non-leap year has $53$ sunday, is