If two dice are thrown simultaneously,then the probability that the sum of the numbers which come up on the dice is more than $5$ is:

If two dice are thrown, then the probability of getting coprime numbers on the dice is

If $\frac{1 - 3p}{2}, \frac{1 + 4p}{3}$ and $\frac{1 + p}{6}$ are the probabilities of three mutually exclusive and exhaustive events,then the set of all values of $p$ is

$A$ student appears for tests $I$, $II$, and $III$. The student is successful if they pass in tests ($I$ and $II$) $OR$ ($I$ and $III$). The probabilities of the student passing in tests $I$, $II$, and $III$ are respectively $p$, $q$, and $1/2$. If the probability of the student being successful is $1/2$, then:

The probability of hitting a target by three marksmen are $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$ respectively. The probability that one and only one of them will hit the target when they fire simultaneously,is

The probability that a teacher will give an unannounced test during any class meeting is $1/5$. If a student is absent twice,then the probability that the student will miss at least one test is