March Randomness Challenges and Outcomes: Week Three
March 15, 2021
This is Statistics’ March Randomness spring contest provides students with the opportunity to use their probability and statistics intuition to predict the outcomes of 16 simple random experiments. Teams that run out of their StatCoin stash will be eliminated. At the end of the month, the team with the most StatCoin loot wins the competition!
Here are this week’s challenges and outcomes:
Challenge #9
Flip a coin six times.
Will the results be 4-2 for one side of the coin?
Challenge #9 Outcome
Kathy Ensor, ASA’s 2022 President, shares the outcome of challenge #9.
Challenge #10
Pouch A has two blue balls and one red ball.
Pouch B has three blue balls.
Pouch C has three red balls.
Without looking, take two balls from Pouch A and put them in Pouch B.
Shuffle Pouch B and without looking, take two balls from Pouch B and put them into Pouch C.
Finally, shuffle Pouch C and without looking take one ball from Pouch C.
Will it be red?
Challenge #10 Outcome
Roger Peng, Professor of Biostatistics at Johns Hopkins University, shares the outcome of challenge #10.
Challenge #11
Roll a 10-sided die, then roll a 20-sided die, then roll a 30-sided die, keeping track of each result in order.
Will the results be in strictly increasing order?
Challenge #11 Outcome
Jenny Green, Associate Professor at Michigan State University, shares the outcome of challenge #11.
Challenge #12
A pouch has three blue balls and nine red balls.
Shuffle and take out two balls at random.
Will both be red?
Challenge #12 Outcome
Emily Butler, Principal Statistician at GlaxoSmithKline Pharma GmbH (GSK), shares the outcome of challenge #12.
Updated contest challenges and outcomes will be posted daily.
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