List of top Mathematics Questions on Probability asked in VITEEE

Probability of getting at least one head in two coin tosses: ____.
A bag contains 5 red and 7 blue balls. Find the probability of drawing 2 red balls without replacement.
A bag contains 4 red and 6 black balls. A ball is drawn at random, its colour is noted and it is returned to the bag. Moreover, 2 additional balls of the colour drawn are put in the bag and then a ball is drawn at random. What is the probability that the second ball is red?
The number of ways to arrange the letters of the word ``MISSISSIPPI'' is:
If the coefficient of correlation between \(x\) and \(y\) is 0.8, then the regression coefficient of \(y\) on \(x\) is:
A die is rolled 5 times. The probability of getting at least one six is:
A bag contains 5 red and 3 blue balls. Two balls are drawn one by one with replacement. The probability that both are red is:
The probability of getting exactly 2 heads in 4 tosses of a fair coin is:
The probability of India winning a test match against Australia is $\frac{1}{2}$ assuming independence from match to match. The probability that in a match series India�s second win occurs at third test match is
A dice is rolled twice and the sum of the numbers appearing on them is observed to be $7$. What is the conditional probability that the number $2$ has appeared at least once ?
If $X$ is a poisson variate such that $P(X = 1) = P(X = 2)$, then $P(X=4)$ is equal to
If $X$ is a binomial variate with the range $\{0,1,2,3,4,5,6\}$ and $ P(X=2)=4 P(X=4)$ then the parameter $p$ of $X$ is
Probability of getting positive integral roots of the equation x$^2$ - n = 0 for the integer n, 1 $\le$ n $\le$ 40 is
If $ P\left(A\right)=\frac{1}{12}, P\left(B\right)=\frac{5}{12},$ and $P\left(B|A\right) =\frac{1}{15}$ then $p\left(A\cup B\right)$ is equal to