JEE Main 2022 (Online) 27th June Morning Shift | Probability Question 77 | Mathematics

Five numbers $${x_1},{x_2},{x_3},{x_4},{x_5}$$ are randomly selected from the numbers 1, 2, 3, ......., 18 and are arranged in the increasing order $$({x_1} < {x_2} < {x_3} < {x_4} < {x_5})$$. The probability that $${x_2} = 7$$ and $${x_4} = 11$$ is :

$${1 \over {136}}$$

$${1 \over {72}}$$

$${1 \over {68}}$$

$${1 \over {34}}$$

JEE Main 2022 (Online) 27th June Morning Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(x = 4), then the sum of the mean and the variance of X is :

$${105 \over {16}}$$

$${7\over {16}}$$

$${77\over {36}}$$

$${49\over {16}}$$

JEE Main 2022 (Online) 26th June Morning Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

Let a biased coin be tossed 5 times. If the probability of getting 4 heads is equal to the probability of getting 5 heads, then the probability of getting atmost two heads is :

$${{275} \over {{6^5}}}$$

$${{36} \over {{5^4}}}$$

$${{181} \over {{5^5}}}$$

$${{46} \over {{6^4}}}$$

JEE Main 2022 (Online) 25th June Evening Shift

MCQ (Single Correct Answer)

-1

A biased die is marked with numbers 2, 4, 8, 16, 32, 32 on its faces and the probability of getting a face with mark n is $${1 \over n}$$. If the die is thrown thrice, then the probability, that the sum of the numbers obtained is 48, is :

$${7 \over {{2^{11}}}}$$

$${7 \over {{2^{12}}}}$$

$${3 \over {{2^{10}}}}$$

$${{13} \over {{2^{12}}}}$$

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