A die has two faces each with number $^{\prime}1^{\prime}$ , three faces each with number $^{\prime}2^{\prime}$ and one face with number $^{\prime}3^{\prime}$. If die is rolled once, determine $P (2)$.
Total number of faces $=6$
Number of faces with number $^{\prime} 2^{\prime}=3$
$\therefore P(2)=\frac{3}{6}=\frac{1}{2}$
In a single throw of two dice, the probability of obtaining a total of $7$ or $9$, is
Three coins are tossed once. Let $A$ denote the event ' three heads show ', $B$ denote the event ' two heads and one tail show ' , $C$ denote the event ' three tails show and $D$ denote the event 'a head shows on the first coin '. Which events are simple ?
Three coins are tossed. Describe Three events which are mutually exclusive and exhaustive.
A die is thrown, find the probability of following events: A number greater than or equal to $3$ will appear.
A bag contains $3$ red and $7$ black balls, two balls are taken out at random, without replacement. If the first ball taken out is red, then what is the probability that the second taken out ball is also red