List of top Mathematics Questions on Probability asked in MET

If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is \( p \), then \( 96p \) is equal to ___.
Probability of getting sum 7 or 9 when two dice are thrown is:
If \(m\) things are distributed among \(a\) men and \(b\) women, then the chance that the number of things received by men is odd is:
A die is rolled three times. The probability of getting a larger number than the previous number is
If \(x\) follows a binomial distribution with parameters \(n = 100\) and \(p = \frac{1}{3}\), then \(P(X = r)\) is maximum when \(r\) equals
One mapping (function) is selected at random from all the mappings of the set \(A = \{1, 2, 3, \dots, n\}\) into itself. The probability that the mapping selected is one-one, is
Fifteen coupons are numbered 1, 2, …, 15, respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is 9, is
Let \(A\) and \(B\) be two events such that \(P(A \cup B) = \frac{1}{6}\), \(P(A \cap B) = \frac{1}{4}\) and \(P(\overline{A}) = \frac{1}{4}\), where \(\overline{A}\) stands for the complement of event \(A\). Then, the events \(A\) and \(B\) are:
One mapping (function) is selected at random from all the mappings of the set \( A = \{1,2,3,\dots,n\} \) into itself. The probability that the mapping selected is one-one, is
If the integers $m$ and $n$ are chosen at random between 1 and 100, then the probability that a number of the form $7^m + 7^n$ is divisible by 5, equals
Out of 50 tickets numbered 00, 01, 02, …, 49, one ticket is drawn randomly. The probability that the ticket has the product of its digits 7, given that the sum of the digits is 8, is
For two events A and B, $P(A)=P(A/B)=1/4$ and $P(B/A)=1/2$. Then
The least number of times a fair coin must be tossed so that the probability of getting at least one head is at least 0.8 is
The probability of getting a sum of 10 with two dice is: