Advertisements
Advertisements
Question
Find the probability that a leap year selected at random will contain 53 Sundays.
Solution
A leap year has 366 days with 52 weeks and 2 days.
Now, 52 weeks conatins 52 sundays.
The remaining two days can be:
- Sunday and Monday
- Monday and Tuesday
- Tuesday and Wednesday
- Wednesday and Thursday
- Thursday and Friday
- Friday and Saturday
- Saturday and Sunday
Out of these 7 cases, there are two cases favouring it to be Sunday.
∴ P(a leap year having 53 Sundays) = `("Number of favourable outcomes")/"Number of all possible outcomes"`
`= 2/7`
Thus, the probability that a leap year selected at random will contain 53 Sundays is `2/7`.
APPEARS IN
RELATED QUESTIONS
A box contains 20 cards marked with numbers 1 to 20. One card is drawn at random. Event A is the number of the card which is multiple of 5. Write S, n(S), A and n(A).
A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is – an ace.
A die is thrown once. Find the probability of getting a number less than 5.
A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.
Tickets numbered 2, 3, 4, 5, ..., 100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is an even number.
The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is
In a lottery, there are 8 prizes and 16 blanks. What is the probability of getting a prize?
One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a face card?
A carton of 24 bulbs contain 6 defective bulbs. One bulbs is drawn at random. What is the probability that the bulb is not defective? If the bulb selected is defective and it is not replaced and a second bulb is selected at random from the rest, what is the probability that the second bulb is defective?
A child’s game has 8 triangles of which 3 are blue and rest are red and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a triangle
