JEE Main 2020 (Online) 2nd September Morning Slot | Probability Question 127 | Mathematics

Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card is drawn from it. The number on the card is found to be a non-prime number. The probability that the card was drawn from Box I is :

$${8 \over {17}}$$

$${2 \over 3}$$

$${2 \over 5}$$

$${4 \over {17}}$$

JEE Main 2020 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

-1

A random variable X has the following probability distribution :

X:	1	2	3	4	5
P(X):	K²	2K	K	2K	5K²

Then P(X > 2) is equal to :

$${1 \over {6}}$$

$${7 \over {12}}$$

$${1 \over {36}}$$

$${23 \over {36}}$$

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MCQ (Single Correct Answer)

-1

If 10 different balls are to be placed in 4 distinct boxes at random, then the probability that two of these boxes contain exactly 2 and 3 balls is :

$${{965} \over {{2^{11}}}}$$

$${{965} \over {{2^{10}}}}$$

$${{945} \over {{2^{11}}}}$$

$${{945} \over {{2^{10}}}}$$

JEE Main 2020 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

-1

In a box, there are 20 cards, out of which 10 are lebelled as A and the remaining 10 are labelled as B. Cards are drawn at random, one after the other and with replacement, till a second A-card is obtained. The probability that the second A-card appears before the third B-card is :

$${{13} \over {16}}$$

$${{11} \over {16}}$$

$${{15} \over {16}}$$

$${{9} \over {16}}$$

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