Consider the set of all $7-$digit numbers formed by the digits $0,1,2,3,4,5,6$, each chosen exactly once. If a number is randomly drawn from this set, the probability that it is divisible by $4$ is
$\frac{26}{105}$
$\frac{13}{45}$
$\frac{2}{7}$
$\frac{1}{3}$
Let two fair dices $A$ and $B$ are thrown. Then the probability that number appears on dice $A$ is greater than number appears on dice $B$ is
Three identical dice are rolled. The probability that same number will appear on each of them will be
The chance of throwing at least $9$ in a single throw with two dice, is
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
A coin is tossed and a dice is rolled. The probability that the coin shows the head and the dice shows $6$ is