Advertisements
Advertisements
Question
Find the probability that in a leap year there will be 53 Tuesdays ?
Solution
GIVEN: A leap year
TO FIND: Probability that a leap year has 53 Tuesdays.
Total number of days in a leap year is 366 days.
Hence number of weeks in a leap year is`366/7 =52 Weeks and 2 day `
In a leap year we have 52 complete weeks and 2 day which can be any pair of the day of the week i.e.
(SUNDAY, MONDAY)
(MONDAY, TUESDAY)
(TUESDAY, WEDNESDAY)
(WEDNESDAY, THURSDAY)
(THURSDAY, FRIDAY)
(FRIDAY, SATURDAY)
(SATURDAY, SUNDAY)
Let A be the event that a leap year has 53 Tuesdays.
The event A will occur if the last two days of the leap year are either Monday and Tuesday or Tuesday and Wednesday.
Therefore, Favourable number of elementary events = 2
Hence total number of pairs of days is 7.
We know that Probability = `'\text{Numbers of favourable event} /\text{total numbers of event}'`
Hence probability that a leap year has 53 Tuesdays =
APPEARS IN
RELATED QUESTIONS
An urn contains 10 red and 8 white balls. One ball is drawn at random. Find the probability
that the ball drawn is white.
A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is Red
A game consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12; as shown below.
If the outcomes are equally likely, find the probability that the pointer will point at:
- 6
- an even number.
- a prime number.
- a number greater than 8.
- a number less than or equal to 9.
- a number between 3 and 11.
Length and breadth of a rectangular garden are 77 m and 50 m. There is a circular lake in the garden having diameter 14 m. Due to wind, a towel from a terrace on a nearby building fell into the garden. Then find the probability of the event that it fell in the lake.
In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8. All these are equally likely outcomes. Find the probability that it will rest at a number greater than 2.
A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is –not red.
Fill in the blank:
The sum of probabilities of all the outcomes of an experiment is ....... .
Fill in the blank:
The probability of a possible but not a sure event lies between ......... and ........ .
If the probability of winning a game is 5/11,what is the probability of losing?
At a fete, cards bearing numbers 1 to 1000, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than 500, the player wins a prize. What is the probability that the second player wins a prize, if the first has won?
