AP EAPCET 2025 - 23rd May Morning Shift | Probability Question 32 | Mathematics

A rational number is selected at random from the distinct rational numbers of the form $p / q$ formed with $p$ and $q$ belonging to the set $\{1,2,3,4,5,6\}$. The probability that the rational number selected is a proper fraction, is

$\frac{1}{2}$

$\frac{5}{6}$

$\frac{11}{23}$

$\frac{13}{35}$

AP EAPCET 2025 - 23rd May Morning Shift

MCQ (Single Correct Answer)

-0

The probability distribution of a discrete random variable $X$ is given below

$$ \begin{array}{lllll} \hline X=x & -1 & 0 & 1 & 2 \\ \hline P(X=x) & \frac{1}{3} & \frac{1}{6} & \frac{1}{6} & \frac{1}{3} \\ \hline \end{array} $$

Then, the value of $6 \sum\left(x^2\right) P(X=x)-\operatorname{var}(X)=$

$\frac{113}{12}$

$\frac{151}{12}$

$\frac{19}{12}$

$\frac{1}{2}$

AP EAPCET 2025 - 23rd May Morning Shift

MCQ (Single Correct Answer)

-0

If the average number of accidents occurring at a particular junction on a highway in a week is 5 , then the probability that atmost one accident occurs in a particular week is

$\frac{25}{e^4}$

$\frac{24}{e^4}$

$\frac{121}{e^5}$

$\frac{6}{e^5}$

AP EAPCET 2025 - 22nd May Evening Shift

MCQ (Single Correct Answer)

-0

An unbiased coin is tossed 8 times. The probability that head appears consecutively at least 5 times is

$\frac{5}{256}$

$\frac{5}{128}$

$\frac{5}{64}$

$\frac{5}{32}$

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