AP EAPCET 2024 - 22th May Morning Shift | Probability Question 6 | Mathematics

When an unfair dice is thrown the probability of getting a number $k$ on it is $P(X=k)=k^2 P$, where $k=1,2,3,4,5,6$ and $X$ is the random variable denoting a number on the dice, then the mean of X is

$\frac{441}{9}$

$\frac{441}{91}$

AP EAPCET 2024 - 21th May Evening Shift

MCQ (Single Correct Answer)

-0

If all the letters of the word 'SENSELESSNESS' are arranged in all possible ways and an arrangement among them is chosen at random, then the probability that all the E's come together in that arrangement is

$\frac{1}{990}$

$\frac{2}{143}$

$\frac{1}{120}$

$\frac{1}{429}$

AP EAPCET 2024 - 21th May Evening Shift

MCQ (Single Correct Answer)

-0

If two numbers $x$ and $y$ are chosen one after the other at random with replacement from the set of number $\{1,2,3, \ldots \ldots 10\}$. Then, the probability that $\left|x^2-y^2\right|$ is divisible by 6 is

$\frac{8}{25}$

$\frac{6}{25}$

$\frac{3}{10}$

$\frac{13}{50}$

AP EAPCET 2024 - 21th May Evening Shift

MCQ (Single Correct Answer)

-0

Bag $A$ contains 3 white and 4 red balls, bag $B$ contains 4 white and 5 red balls and bag $C$ is contains 5 white and 6 red balls. If one ball is drawn at random from each of these three bags, then the probability of getting one white and two red balls is

$\frac{268}{693}$

$\frac{310}{693}$

$\frac{38}{99}$

$\frac{26}{63}$

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