Find the probability of a month of January having 5 Friday?
Answers
Answer:
the ans
Step-by-step explanation:
I'm trying to find out what is the probability that a randomly chosen January will have 5 Sundays. Of course the answer for 4 Sundays would be 1. I presume that 31 day months will have a higher probability of having 5 then 30 day months. Of course, February in a non-leap year has 0 probablity of having 5 sundays and in a leap year will have 5 only if 1st Feb is a Sunday. Therefore in a leap year P(Feb,5) = 1/7 and over a 400 year time period the P(Feb,5) will be 99/2800. I presume all 31 day months will have the same probablity which should be higher than 30 day months and in turn will be higher than 99/2800. I've worked out P(31d month,5) will be 223/343 and P(30d month,5) is 19/49
or
January will have 5 Sundays if January 1 falls on Friday, Saturday or Sunday. Therefore the probability is 3/7. You can apply the same logic for other months.
Answer:
Assuming that January can start on any day of the week with equal probability, just note that for it to have 5 Sundays it has to start on either a Sunday, a Saturday or a Friday, so 3/7. Ans