Are You Smarter than a Fifth Grader? I Wasn't

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Of the passengers on a plane, half of those who tested positive for COVID *had* been vaccinated and half of those who tested positive for COVID had *not* been vaccinated. What can you conclude about the effectiveness of the vaccine?

Did you blurt out something? I did :(

Look at it this way: Say there were 101 passengers. One had not been vaccinated and tested positive. The other 100 *had* been vaccinated and one of them tested positive. Now whaddaya say? See :)

1. All of Statistics by Larry Wasserman

2. Harvard’s free Stat 110 probability course

3. Khan Academy probability and statistics

4. Introduction to Probability by Grinstead & Snell

5. Brilliant.com interactive probability modules