Against All Odds
How Probable?
Survey the World
100

Our favorite Geneticist

Pardi Sabeti

100

P(rain)  stands for what?

The probability of rain.

100

I want to know how Earthlings feel about Space Travel.  Should I attempt to ask EVERY Earthling or should I use a different tool?  What is the tool?

You should take a sample of all Earthlings.  GROK!

200

If you get struck by lightening once, are you more likely to get struck by lightening again?

No!  These are separate events and they don't influence one another.

200

If the P(Raining on Monday) is 95% what is the P(Not Raining on Monday)?

5% because either it will rain or not and that is all the possible outcomes.

200

I need to find out how many mothers in the school have computers at home.  I ask my friends to ask their moms because I figure that is a good sample.  Did I do anything wrong in collecting my data this way?

Yes, that would be a biased sample because your friends aren't typical of the whole community.

300

If you lose the lottery five times in a row, are you more likely to win the next time?

No!  These are separate events and don't influence one another.

300

If P(sunshine)=.65 and P(traffic accident on I5 during the morning commute)=.23, what is the P(sunshine AND a traffic accident)?

P(sunshine) times P(traffic accident)=.65 times .23=.1495 or about 15%.

300

How did the company know which potato chips were sample chips?  How did they mark them?

They punched a hole in the potato before slicing and the samples all had a hole in the middle!

400

Why is the lottery called "the game for the statistically impaired"?

Because it is you are so unlikely to win, it is almost a zero probability.

400

You have a STANDARD deck of cards.  What is P(drawing a King)?  What is P(drawing a heart)?

P(drawing a King) is 4/52 and P (drawing a heart) is 13/52

400

If I want to survey typical classrooms at Roosevelt for political attitudes, how do pick the classrooms?

Randomly!  Put room numbers in a hat and draw out five or so.

500

In the tall persons club, did the men and women have to have an equal z-score in order to join?

No, women had to have a HIGHER z-score to get in.  HMMMM!

500

What is the P(drawing a KING OR drawing a HEART) from a STANDARD deck of cards?

P(King) + P(Heart) minus the P(King of Hearts) because otherwise we would count it twice. So 4/52 +13/52 - 1/52= 16/52

500

The teachers on the third floor never want to do the  annual school survey with their students because they are busy teaching, so they don't participate.  Does it matter in terms of the data?  Give an example.

Yes!  There are a lot of math teachers on the third floor so the students who take math classes wouldn't be a part of the survey.  That would make the data biased.

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