Posted by Maria on Monday, February 22, 2010 at 2:50am.
i) It is the proportion below for 2 the same, plus 1/7*1/7*1/7 for 3 the same. (Either-or probabilities are determined by adding the separate probabilities.)
ii) It is 1/7*1/7*6/7, because the third person has a different day of the week.
iii) Work the same as i) above, for 2, 3 or 4 sharing the same day.
The only way I know to find out is to expand iii) above to larger numbers until it equals 1/2.
I hope this helps.
Sorry, I was distracted by your attempt to answer ii). Your concern is for matching the first throw, whatever it is.
i) It is the proportion below for 2 the same, plus 1/7*1/7 for 3 the same. (Either-or probabilities are determined by adding the separate probabilities.)
ii) The first throw can be any number, so your concern is with matching that number, so ii) = 1/7*6/7.
iii) Work the same as i) above, for 2, 3 or 4 sharing the same day.
The only way I know to find out is to expand iii) above to larger numbers until it equals 1/2.
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