Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 1>Q 5

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JEE Main

IMPORTANT

Earn 100

In a game called 'odd man out', $m (m > 2)$ persons toss a coin to determine who will buy refreshment for the entire group. A person who gets an outcome different from that of the rest of the members of the group is called the odd man out. The probability that there is a loser in any game is

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Important Questions on Probability

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 1>Q 6

If

a \in I

and

a \in [- 5, 30]

, then the probability that the graph of

y = x^{2} + 2 (a + 4) x - 5 a + 64

is strictly above the

x

-axis is

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 1>Q 7

From a group of

5

boys and

3

girls, three persons are chosen at random. Find the probability that there are more girls than boys

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 1>Q 8

From

4

children,

2

women and

4

men,

4

are selected. Probability that there are exactly

2

children among the selected is,

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 1>Q 9

A person draws two cards with replacement from a pack of

52

cards. What is the chance that he gets both cards of the same suit?

HARD

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 1>Q 10

There is a three volume dictionary among

40

books arranged on a shelf in random order. Then the reciprocal of probability of these volumes standing in increasing order from left to right (the volumes are not necessarily kept side by side) is

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 1>Q 11

A mapping is selected at random from all the mappings defined on the set a consisting of three distinct elements. Probability that the mapping selected is one to one is

\frac{p}{q}

(where

p

and

q

are co-prime natural numbers) then

p + q

is

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 1>Q 12

Three numbers are chosen at random without replacement from

{1, 2, 3, \dots \dots, 10} .

The probability that the minimum of the chosen numbers is

3

or their maximum is

7

is

\frac{p}{q}

then

(q - 2 p)

equals. (Where

p & q

are co-prime natural numbers)

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 23 - Probability>Level 1>Q 13

Three persons work independently on a problem. If the respective probabilities that they will solve it are

\frac{1}{3}, \frac{1}{4}

and

\frac{1}{5},

then the probability that none can solve it is