AP EAPCET 2025 - 22nd May Morning Shift | Probability Question 41 | Mathematics

The probability that a person $A$ completes a work in a given time is $\frac{2}{3}$ and the probability that another person $B$ completes the same work in the same time is $\frac{3}{4}$. If both $A$ and $B$ start doing this work at the same time, then the probability that the work is completed in the given time is

$\frac{11}{12}$

$\frac{1}{2}$

$\frac{5}{12}$

$\frac{8}{9}$

AP EAPCET 2025 - 22nd May Morning Shift

MCQ (Single Correct Answer)

-0

If $l, m$ represent any two elements (identical or different) of the set $\{1,2,3,4,5,6,7\}$, then the probability that $l x^2+m x+1>0 \forall x \in R$ is

$\frac{12}{{ }^7 C_2}$

$\frac{22}{7^2}$

$\frac{10}{{ }^7 C_2}$

$\frac{36}{7^2}$

AP EAPCET 2025 - 22nd May Morning Shift

MCQ (Single Correct Answer)

-0

$A$ and $B$ are playing chess game with each other. The probability that $A$ wins the game is 0.6 . the probability that he loses is 0.3 and the probability its draw is 0.1 . If they played three games, then the probability that $A$ wins atleast two games is

$\frac{54}{125}$

$\frac{81}{125}$

$\frac{18}{25}$

$\frac{9}{25}$

AP EAPCET 2025 - 22nd May Morning Shift

MCQ (Single Correct Answer)

-0

$U_1, U_2, U_3$ are three urns. $U_1$ contains 5 red, 3 white, 2 back balls: $U_2$ contains 4 red 4 white, 2 black balls and $U_3$ contains 3 red. 4 white, 3 black balls. If a ball is chosen at random from an urn chosen at random, then the probability of not getting a black ball is

$\frac{7}{30}$

$\frac{23}{30}$

$\frac{2}{5}$

$\frac{11}{30}$

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