Advertisements
Advertisements
प्रश्न
What is the chance that a leap year, selected at random, will contain 53 Sundays?
उत्तर
A leap year has 366 days
366 = 52 × 7 + 2
∴ there are 52 weeks and 2 other days.
These 2 days can be Sunday-Monday; Monday-Tuesday; Tuesday-Wednesday; Wednesday-Thursday; Thursday-Friday; Friday-Saturday; Saturday-Sunday.
∴ there are 7 possibilities and favorable cases are 2
∴ the required probability = `2/7`
APPEARS IN
संबंधित प्रश्न
There are four pens: Red, Green, Blue, and Purple in a desk drawer of which two pens are selected at random one after the other with replacement. State the sample space and the following event.
A: Selecting at least one red pen.
There are four pens: Red, Green, Blue, and Purple in a desk drawer of which two pens are selected at random one after the other with replacement. State the sample space and the following event.
B: Two pens of the same color are not selected.
A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.
A: Getting a Tail and an Odd number
A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.
C: Getting a head and a perfect square.
Find n(S) of the following random experiment.
5 letters are to be placed into 5 envelopes such that no envelope is empty.
Find n(S) of the following random experiment.
6 books of different subjects arranged on a shelf.
Find n(S) of the following random experiment.
3 tickets are drawn from a box containing 20 lottery tickets.
Two fair dice are thrown. State the sample space and write favorable outcomes for the following event:
B: Sum of numbers on two dice is 7
Two fair dice are thrown. State the sample space and write favorable outcomes for the following event:
C: Odd number on the first die.
Two fair dice are thrown. State the sample space and write favorable outcomes for the following event:
D: Even number on the first die.
Two fair dice are thrown. State the sample space and write favorable outcomes for the following events:
Check whether events A and B are mutually exclusive and exhaustive.
A: Sum of numbers on two dice is divisible by 3 or 4.
B: Sum of numbers on two dice is 7.
Two fair dice are thrown. State the sample space and write favorable outcomes for the following events:
Check whether events C and D are mutually exclusive and exhaustive
C: Odd number on the first die.
D: Even number on the first die.
A bag contains four cards marked as 5, 6, 7, and 8. Find the sample space if two cards are drawn at random without replacement.
A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. Find the probability that, Number on the ticket is divisible by 6
A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. Find the probability that, Number on the ticket is a perfect square
A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. Find the probability that, Number on the ticket is divisible by 3 and 5
A room has three sockets for lamps. From a collection 10 bulbs of which 6 are defective. At night a person selects 3 bulbs, at random and puts them in sockets. What is the probability that room is still dark
Select the correct option from the given alternatives :
In a jar there are 5 black marbles and 3 green marbles. Two marbles are picked randomly one after the other without replacement. What is the possibility that both the marbles are black?
Solve the following:
The letters of the word 'EQUATION' are arranged in a row. Find the probability that All the vowels are together
Solve the following:
The letters of the word 'EQUATION' are arranged in a row. Find the probability that Arrangement starts with a vowel and ends with a consonant
Solve the following:
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is and even number?
Solve the following:
If the letters of the word 'REGULATIONS' be arranged at random, what is the probability that there will be exactly 4 letters between R and E?
Solve the following:
In how many ways can the letters of the word ARRANGEMENTS be arranged? Find the probability that the consonants are together
A player tosses 2 fair coins. He wins Rs. 5 If 2 heads appear, Rs. 2 If 1 head appear and Rs.1 if no head appears, then variance of his winning amount is ______.
In a bike race, the odds against three bikes are 3 : 1, 2 : 1, and 4 : 1. The probability that one of the bikes will win the race is ______
One page is randomly selected from a book containing 100 pages. The probability that the sum of the digits of the page number of the selected page is 9, is ______.
Three randomly chosen non-negative integer x, y and z are found to satisfy the equation x + y + z = 10. Then, the probability that z is even, is ______.
