Question

What is the probability of getting 53 Mondays in a leap year?​

Answer 1

Answer:

Step-by-step explanation:

total number of days in non-leap year =365

total number of days in leap year =366

total number of Monday occurs in non leap year is 365 / 7 = 52

the remaining  days in non leaf year is 2 so its clear

the probability of the 53 Monday in non leaf year is  = 2 / 7

Answer 2

Solution:-

We know,

▶1 year has 365 days

▶1 leap year has 366 days(As February has 29 days)

And,

▶Total number of weeks = 52

A week has a Monday for sure.Hence,there will be 52 Mondays.

→ 52 × 7 = 364 days.

Remaining days:-

→ 366 - 364 = 2days

A new year can start with any day out of 7 days.

These two days left can be :-

If the leap year starts with Saturday,then the two days left are:

• Sunday, Monday

If the leap year starts with Sunday,then the two days left are:

• Monday, Tuesday

If the leap year starts with Monday,then the two days left are:

• Tuesday, Wednesday

If the leap year starts with Tuesday,then the two days left are:

• Wednesday, Thursday

If the leap year starts with Wednesday,then the two days left are:

• Thursday, Friday

If the leap year starts with Thursday,then the two days left are:

• Friday, Saturday

If the leap year starts with Friday,then the two days left are:

• Saturday, Sunday

We can observe that ,

▶Total no.of possible cases = 7

▶Favourable outcomes = 2 (As only 2 cases contain monday in the remaining days)

Using the formula,

✦Probability=No.of.favourable outcomes/Total no.of.favourable outcomes

Putting values,

▶Probability = 2/7

Hence, the probability of getting 53 Mondays in a leap year is 2/7.

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