We only want the product of the integers from 365 to 336, so we’ll divide out the extraneous numbers by dividing 365! Of course, we want the complement so we’ll subtract it from 1 to find the probability that at least 2 people in a group of 30 share the same day of birth.
Turns out it was a pretty safe bet for our professor!
28 and the way the media covered the Comey story may have been affected by the presumption that Clinton was almost sure to win.
" — Clinton has even made a version of his claim herself.
He had a nearly 71% chance that 2 or more of us would share a birthday.
Many people are surprised to find that if you repeat this calculation with a group of 23 people you’ll still have a 50% chance that at least two people were born on the same day.
This alternate exercise is helpful because it is the complete opposite of our original problem (i.e. In probability we know that the total of all the possible outcomes (i.e. We’re finally ready to find out how safe a bet the professor made.
the sample space) is always equal to 1, or 100% chance. Let’s work out the probability that no one shares the same birthday out of a room of 30 people.
The probability of being born any day of the year is 1 or more specifically: 365/365.
It was a class of about 30 students and the professor bet that at least two of us shared the same birthday.
He then proceeded to have everyone state their birthday.
I’ve often heard it asserted that the widespread presumption of an inevitable Clinton victory was itself a problem for her campaign There are lots of plausible ways in which it could have been a problem.
For instance, both Comey’s decision to release his letter on Oct.