What is the probability that a leap year, selected at random will contain 53 Sundays?

A leap year has 366 days = 52 weeks + 2 days . That 2 days can be Sunday-Monday, Monday-Tuesday, Tuesday-Wednesday, Wednesday-Thursday,..., Saturday-Sunday. Total outcomes = 7 (Sun-Mon, Mon-Tue, Tue-Wed, Wed-Thu, Thu-Fri, Fri-Sat, Sat-Sun) Number of favourable outcomes i.e, Sunday, n E = 2 n S = 7 Required probability, P E = n E n S = 2 7

E M B I B E

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 9

MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

Three students Ram, Ali and John appear at a competitive examinations. The probability of Ram comes first is thrice that of Ali and the probability of Ali coming first is thrice of John. The probability of John coming first is

61.54% studentsanswered this correctly

Important Questions on Probability

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 10

A number is selected from first

100

natural numbers. The probability that the number is a perfect square or a perfect cube is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 11

Given two events are

A

and

B

. If odds against

A

are as

2 : 1

and those in favour of

A \cup B

are as

3 : 1

, then

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 18

5

cards are drawn from a pack of

52

cards. The probability that these

5

will contain just one king is

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 19

12

members of a committee are to sit down at random round a table. Probability that there are

3

members between the two particular members

A

and

B

, is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 25

One number is selected from the set

\{1, 2, 3, . . ., 100\}

. The probability that the number is even or a multiple of

5

is

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 27

A

and

B

play with two dice on the condition that

A

wins if he throws

6

before

B

throws

7

, then the probability that

A

wins is if

A

start throwing

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 1

If

P (A) = \frac{1}{2}, P (B) = \frac{2}{5}, P (C) = \frac{1}{2}

and

P (A \cap B) = P (B \cap C) = P (C \cap A) = \frac{1}{4}

and

P (A \cap B \cap C) = \frac{1}{8}

then the probability that at least one of them appears is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 8 - Probability>Assignment>Q 2

In a game of six digits, two digits are already fixed for prize. If anyone will find these two fixed digits then he will win the prize. Mr. A selects two numbers. The probability that Mr. A will win the prize is

Learn and Prepare for any exam you want !

|

|

|

|

|

|

|

|