A problem in Mathematics is given to three students $A, B, C$ and their respective probability of solving the problem is $\frac{1}{2} , \frac{1}{3} $ and $\frac{1}{4}$. Probability that the problem is solved is
$\frac{3}{4}$
$\frac{1}{2}$
$\frac{2}{3}$
$\frac{1}{3}$
A card is selected from a pack of $52$ cards. Calculate the probability that the card is black card.
In each of the following experiments specify appropriate sample space A boy has a $1$ rupee coin, a $2$ rupee coin and a $5$ rupee coin in his pocket. He takes out two coins out of his pocket, one after the other.
On her vacations Veena visits four cities $( A ,\, B ,\, C$ and $D )$ in a random order. What is the probability that she visits $A$ just before $B$ ?
A card is drawn at random from a pack of $52$ cards. The probability that the drawn card is a court card i.e. a jack, a queen or a king, is
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 $P (2)$.