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 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
A bag contains $9$ discs of which $4$ are red, $3$ are blue and $2$ are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag. Calculate the probability that it will be blue
The probability that a leap year will have $53$ Fridays or $53$ Saturdays is
Let $E _{1}, E _{2}, E _{3}$ be three mutually exclusive events such that $P \left( E _{1}\right)=\frac{2+3 p }{6}, P \left( E _{2}\right)=\frac{2- p }{8}$ and $P \left( E _{3}\right)$ $=\frac{1- p }{2}$. If the maximum and minimum values of $p$ are $p _{1}$ and $p _{2}$, then $\left( p _{1}+ p _{2}\right)$ is equal to.
A single letter is selected at random from the word “$PROBABILITY$”. The probability that the selected letter is a vowel is