The probability that a leap year selected ran | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) leap year contains $366$ days,which is equal to $52$ weeks and $2$ extra days.There are definitely $52$ Sundays in the $52$ full weeks.For the rem

Vedclass · Accepted Answer

$\frac{2}{7}$

Vedclass · Answer

(B) leap year contains $366$ days,which is equal to $52$ weeks and $2$ extra days.There are definitely $52$ Sundays in the $52$ full weeks.For the remaining $2$ days,the possible combinations are:$(i)$ Sunday and Monday$(ii)$ Monday and Tuesday$(iii)$ Tuesday and Wednesday$(iv)$ Wednesday and Thursday$(v)$ Thursday and Friday$(vi)$ Friday and Saturday$(vii)$ Saturday and SundayThere are $7$ total possible outcomes for the remaining $2$ days.To have $53$ Sundays,one of the remaining $2$ days must be a Sunday.This occurs in $2$ cases: $(i)$ Sunday and Monday,and $(vii)$ Saturday and Sunday.Therefore,the required probability is $\frac{2}{7}$.

The probability that a leap year selected randomly will have $53$ Sundays is

Similar Questions

$3$ coins are tossed. Find the probability of getting at least $2$ heads.

$2$ dice are thrown together. What is the probability that the sum of the numbers on $2$ faces is neither $9$ nor $11$?

The corners of regular tetrahedrons are numbered $1, 2, 3, 4$. Three tetrahedrons are tossed. The probability that the sum of the upward corners will be $5$ is

An urn contains $25$ balls numbered $1$ to $25$. Suppose an odd number is considered a 'success'. If $2$ balls are drawn from the urn with replacement,find the probability of getting at most $2$ successes.

$A$ group of $4$ students is to be formed from among $4$ girls and $6$ boys. What is the probability that the group has less number of boys than the number of girls?

Vedclass Test Series

Exam Paper Generator

Online Exam Module