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
$\frac{26}{105}$
$\frac{13}{45}$
$\frac{2}{7}$
$\frac{1}{3}$
A single letter is selected at random from the word “$PROBABILITY$”. The probability that the selected letter is a vowel is
A coin is tossed twice, what is the probability that atleast one tail occurs ?
A man and a woman appear in an interview for two vacancies in the same post. The probability of man's selection is $1/4$ and that of the woman's selection is $1/3$. What is the probability that none of them will be selected
In a class of $60$ students, $40$ opted for $NCC,\,30$ opted for $NSS$ and $20$ opted for both $NCC$ and $NSS.$ If one of these students is selected at random, then the probability that the student selected has opted neither for $NCC$ nor for $NSS$ is
Three coins are tossed once. Find the probability of getting atleast $2$ heads.