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JEE Main

IMPORTANT

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One ticket is selected at random from $50$ tickets numbered $00, 01, 02, . . . ., 49$ . Then, the probability that the sum of the digits on the selected ticket is $8$ , given that the product of these digits is zero, equals

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Important Questions on Probability

MEDIUM

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 2>Q 17

A coin is tossed until a head appears or it has been tossed thrice. Given that head doesn't appear on the first toss, the probability that coin tossed thrice is

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 2>Q 19

There are two urns. There are

m

white &

n

black balls in the first urn and

p

white &

q

black balls in the second urn. One ball is taken from the first urn & placed into the second. Now, the probability of drawing a white ball from the second urn is

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 2>Q 20

In a bolt factory, machines

X, Y, Z

manufacture bolts that are respectively

25 %, 35 %

and

40 %

of the factory's total output. The machines

X, Y, Z

respectively produce

2 %, 4 %

and

5 %

defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine

X

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 2>Q 21

A student answers a multiple choice question with

5

alternatives, of which exactly one is correct. The probability that he knows the correct answer is

p, 0 < p < 1

. If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 2>Q 22

The probability distribution of a discrete random variable $X$ is given by

$X = x$	$- 1$	$0$	$1$	$2$
$P (X = x)$	$\frac{1}{3}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{3}$

Then, the value of $6 E (X^{2}) - V a r (X)$ is

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 2>Q 23

A box contains

6

pens,

2

of which are defective. Two pens are taken randomly from the box. If a random variable

X

is the number of defective pens obtained, then standard deviation of

X =

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 2>Q 24

An ordinary die is rolled in a certain number of times. The probability of getting an odd number

2

times is equal to the probability of getting an even number

3

times. Then, the probability of getting an odd number on an odd number of times, is

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 3>Q 8

Two aeroplanes I and II bomb a target in succession. The probability of I and II scoring a hit correctly are

0.3

and

0.2

, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is

One ticket is selected at random from 50 tickets numbered 00,01,02,....,49. Then, the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals

Important Questions on Probability

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One ticket is selected at random from $50$ tickets numbered $00, 01, 02, . . . ., 49$ . Then, the probability that the sum of the digits on the selected ticket is $8$ , given that the product of these digits is zero, equals