SOLUTION: Two dates are selected at random from the 365 days of the year. Determine the number of possible outcomes if the dates are selected (a) with replacement (i.e. we CAN pick the sam

Algebra ->  Probability-and-statistics -> SOLUTION: Two dates are selected at random from the 365 days of the year. Determine the number of possible outcomes if the dates are selected (a) with replacement (i.e. we CAN pick the sam      Log On


   



Question 274417: Two dates are selected at random from the 365 days of the year. Determine the number of possible outcomes if the dates are selected
(a) with replacement (i.e. we CAN pick the same date twice).
(b) without replacement (i.e. we CANNOT pick the same date twice).
Bonus: If I randomly pick 2 people off of the street, what is the probability that they have the same birthday? (I mean the day, not the year).

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two dates are selected at random from the 365 days of the year. Determine the number of possible outcomes if the dates are selected
(a) with replacement (i.e. we CAN pick the same date twice).
Ans: (1/365)^2
-------------------------------
(b) without replacement (i.e. we CANNOT pick the same date twice).
Ans: (1/365)(1/364)
----------------------------
Bonus: If I randomly pick 2 people off of the street, what is the probability that they have the same birthday? (I mean the day, not the year).
Ans: (1/365)^2
===============================================================================
Cheers,
Stan H.