Describe the sample space for the indicated experiment: A coin is tossed three times.
A coin has two faces: head $(H)$ and tail $(T)$.
When a coin is tossed three times, the total number of possible outcome is $2^{3}=8$
Thus, when a coin is tossed three times, the sample space is given by :
$S =\{ HHH ,\, HHT ,\, HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$
Three coins are tossed once. Find the probability of getting exactly $2$ tails.
The probability of obtaining sum ‘$8$’ in a single throw of two dice
The probability that a leap year selected randomly will have $53$ Sundays is
Two dice are thrown. The probability that the sum of numbers appearing is more than $10$, is
For three non impossible events $A$, $B$ and $C$ $P\left( {A \cap B \cap C} \right) = 0,P\left( {A \cup B \cup C} \right) = \frac{3}{4},$ $P\left( {A \cap B} \right) = \frac{1}{3}$ and $P\left( C \right) = \frac{1}{6}$.
The probability, exactly one of $A$ or $B$ occurs but $C$ doesn't occur is