A coin is tossed $3$ times by $2$ persons. What is the probability that both get equal number of heads
$\frac{3}{8}$
$\frac{1}{9}$
$\frac{5}{{16}}$
None of these
The probabilities of a problem being solved by two students are $\frac{1}{2},\frac{1}{3}$. Then the probability of the problem being solved is
A determinant is chosen at random. The set of all determinants of order $2$ with elements $0$ or $1$ only. The probability that value of the determinant chosen is positive, is
Three coins are tossed once. Find the probability of getting atleast $2$ heads.
A die is rolled. Let $E$ be the event "die shows $4$ " and $F$ be the event "die shows even number". Are $E$ and $F$ mutually exclusive ?
Four coins are tossed. The probability that at least one head turns up, is