What is the probability that month of december has exactly 5 Sundays,5 Mondays and 5 Tuesdays?
Answers
Given : month of December has 5 Mondays 5 Sundays and 5 Tuesdays
To find : probability
Solution:
Month of December has 31 days
31 = 4 * 7 + 3
There will be all days 4
and 5th days can be
( Sunday , monday , tuesday)
(Monday , tuesday , Wednesday)
(Tuesday , wednesday , thursday)
( wednesday , Thursday , Friday)
(thursday , friday , saturday)
( Friday , Saturday , Sunday)
( Saturday , Sunday Monday)
5 Mondays 5 Sundays and 5 Tuesdays
means 5th days ( Sunday , monday , tuesday)
Probability = 1/7
probability that the month of December has 5 Mondays 5 Sundays and 5 Tuesdays = 1/7
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Answer:
P (5 Sundays, 5 Mondays and 5 Tuesdays) = 1/7
Step-by-step explanation:
Number of days in December = 31
31 days can be distributed as- 4 weeks and 3 days
These 3 days can be:
- Monday, Tuesday, Wednesday
- Tuesday, Wednesday, Thursday
- Wednesday, Thursday, Friday
- Thursday, Friday, Saturday
- Friday, Saturday, Sunday
- Saturday, Sunday, Monday
- Sunday, Monday, Thursday
Total Outcomes= 7
Favorable Outcomes=1 (Sunday, Monday, Tuesday)
Probability = Favorable Outcomes/Total Outcomes
= 1/7