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What is the chance that a leap year selected at random will contain 53 sunday ?

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Answer 1 · 2017-11-15T17:06:13

# 2/7.#

A leap year has #366# days, so it contains #52# weeks

and #2# days.

#[because, 366" days="52" weeks"xx7" days"+2" days.]"#

Now, these #52# weeks contain #52# Sundays, so the

#53^(rd)# Sunday must happen from #2# days.

These #2# days can be,

(1) : Sunday, Monday;

(2) : Monday, Tuesday;

(3) : Tuesday, Wednesday;

(4) : Wednesday, Thursday;

(5) : Thursday, Friday:

(6) : Friday, Saturday; and

(7) : Saturday, Sunday.

Thus, out of #7# possibilities enumerated above, #53^(rd)# Sunday

can happen in #2# ways, [i.e., alternative (1) and (7)].

Hence, the Reqd. Prob. #=2/7.#