Mathematics Crash Course MHT-CET>Chapter 27 - Probability>Exercise 1>Q 26

MEDIUM

MHT-CET

IMPORTANT

Earn 100

From a book containing $100$ pages, one page is selected randomly. The probability that the sum of the digits of the page number of the selected page is $11$ , is

50% studentsanswered this correctly

Important Questions on Probability

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 27 - Probability>Exercise 1>Q 27

If an integer

q

is chosen at random in the interval

- 10 \leq q \leq 10,

then the probability that the roots of the equation

x^{2} + q x + (\frac{3 q}{4} + 1) = 0

are real is

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 27 - Probability>Exercise 1>Q 28

A person goes to office by a car or scooter or bus or train, probability of which are

\frac{1}{7}, \frac{3}{7}, \frac{2}{7}

and

\frac{1}{7}

, respectively. Probability that he reaches office late, if he takes the car, scooter, bus or train is

\frac{2}{9}, \frac{1}{9}, \frac{4}{9}

and

\frac{1}{9}

, respectively. Given that he reached office in time, the probability that he travelled by a car is

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 27 - Probability>Exercise 1>Q 29

A dice is thrown twice and the sum of the numbers appearing is observed to be

8

. The conditional probability that the number

5

has appeared at least once is

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 27 - Probability>Exercise 1>Q 30

In solving any problem, odds against

A

are

4

to

3

and in favour of

B

in solving the same is

7

to

5

. The probability that problem will be solved is

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 27 - Probability>Exercise 1>Q 31

A & B

having equal skill, are playing a game of best of

5

points. After

A

has won two points and

B

has won one point, the probability that

A

will win the game is:

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 27 - Probability>Exercise 1>Q 32

A class consists of

80

students,

25

of them are girls. If

10

of the students are rich and

20

of the students are fair complexioned, then the probability of selecting a fair complexioned rich girl from the class (assuming three traits as independent) is

HARD

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 27 - Probability>Exercise 1>Q 33

The probability of event

A

is

\frac{3}{4}

. The probability of event

B

, given that event

A

occurs is

\frac{1}{4}

. The probability of event

A

, given that event

B

occurs is

\frac{2}{3}

. The probability that neither event occurs is

MEDIUM

MHT-CET

IMPORTANT

Mathematics Crash Course MHT-CET>Chapter 27 - Probability>Exercise 1>Q 34

A drawer contains

5

black socks and

4

blue socks well mixed. A person pulls out

2

socks at random from drawer. The probability that they match is