JEE Main 2019 (Online) 12th January Evening Slot | Probability Question 186 | Mathematics

In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC and NSS. If one of these students is selected at random, then the probability that the students selected has opted neither for NCC nor for NSS is :

$${1 \over 3}$$

$${1 \over 6}$$

$${2 \over 3}$$

$${5 \over 6}$$

JEE Main 2019 (Online) 12th January Morning Slot

MCQ (Single Correct Answer)

-1

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 :

$$3\sqrt 2 $$

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

$$4\sqrt 3 $$

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