JEE Main 2019 (Online) 12th January Morning Slot | Probability Question 146 | Mathematics

In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to :

$${{200} \over {{6^5}}}$$

$${{225} \over {{6^5}}}$$

$${{150} \over {{6^5}}}$$

$${{175} \over {{6^5}}}$$

JEE Main 2019 (Online) 11th January Evening Slot

MCQ (Single Correct Answer)

-1

Let S = {1, 2, . . . . . ., 20}. A subset B of S is said to be "nice", if the sum of the elements of B is 203. Then the probability that a randonly chosen subset of S is "nice" is :

$${5 \over {{2^{20}}}}$$

$${7 \over {{2^{20}}}}$$

$${4 \over {{2^{20}}}}$$

$${6 \over {{2^{20}}}}$$

JEE Main 2019 (Online) 11th January Evening Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

A bag contains 30 white balls and 10 red balls. 16 balls are drawn one by one randomly from the bag with replacement. If X be the number of white balls drawn, then $$\left( {{{mean\,\,of\,X} \over {s\tan dard\,\,deviation\,\,of\,X}}} \right)$$ is equal to :

$$3\sqrt 2 $$

$${{4\sqrt 3 } \over 3}$$

$$4\sqrt 3 $$

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

-1

Two integers are selected at random from the set {1, 2, ...., 11}. Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is :

$${2 \over 5}$$

$${1 \over 2}$$

$${7 \over 10}$$

$${3 \over 5}$$

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