Find the probability that a Leap Year has

i) 52 sundays ii)53 sundays

Total number of days in a leap year are 366 days

366 days = 364 days + 2 days

= 52 × 7 days + 2 days

= 52 weeks + 2 days

(i) There are 52 weeks in a leap

∴ 52 weeks must have 52 Sundays.

Hence the probability of 52 Sundays = 1

(ii) A leap year has 366 days which is equal to 52 weeks and 2 days.

These 2 day can be any of the following :

(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 Saturday

Number of favourable outcomes = 2 (Sunday and Monday, Saturday and Sunday)

Total number of outcomes = 7

∴ Probability that a leap year has 53 Sundays

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