In a college, $25\%$ of the boys and $10\%$ of the girls offer Mathematics. The girls constitute $60\%$ of the total number of students. If a student is selected at random and is found to be studying Mathematics, the probability that the student is a girl, is
$\frac{1}{6}$
$\frac{3}{8}$
$\frac{5}{8}$
$\frac{5}{6}$
Three coins are tossed once. Find the probability of getting $3 $ heads
If a dice is thrown twice, then the probability of getting $1$ in the first throw only is
If in a lottary there are $5$ prizes and $20$ blanks, then the probability of getting a prize is
The probability of happening an event $A$ in one trial is $0.4$. The probability that the event $A$ happens at least once in three independent trials is
From a pack of $52$ cards two are drawn with replacement. The probability, that the first is a diamond and the second is a king, is