What's the probability that a 31 day month will have five Mondays? (Assume that there is equal chance of any one of the seven days being the first day of the month).

*Just a little note, I think we're supposed to use permutations or combinations for this, as it's a question under that topic we're to do.




This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
We have complete 4 weeks in the first 28 days of the month. We have 3 more days x = 29th day, y = 30th and z = 31st days of the month.

  x, y, z  can be any week day.

permutations possible:
    If x is known then y and z are consequently fixed. There are 7 possible permutations for x.    Hence, total number of permutations/combinations / possibilities are :  7
      Sat  Sun  Mon,  Sun Mon Tue,  Mon Tue Wed,  
      Tue Wed Thu,  Wed Thu Fri,   Thu Fri Sat,  Fri Sat Sun

The desired outcomes/permutations are the first three in the above list.
      Sat Sun Mon,  Sun Mon Tue,   Mon Tue  Wed

probability =  3 / 7

2 5 2
Wow you are awesome! Thanks alot!