Probability of Bill Not Being Picked

What is the method that the siblings use to decide who does the dishes each night?

• They take turns based on age

• They draw names from a bowl

• They flip a coin

• They play a game to decide

After how many nights of not being picked do the siblings start suspecting something fishy?

• 1 night

• 2 nights

• 3 nights

• 4 nights

What is the probability of Bill not being picked on a given night?

• 1/4

• 1/3

• 2/3

• 3/4

What is the probability of Bill not being picked three nights in a row?

• 0.125

• 0.25

• 0.375

• 0.42

If Bill is not picked 12 nights in a row, what is the probability of this happening purely by chance?

• 0.032

• 0.125

• 0.25

• 0.375

What is the threshold probability that statisticians often use to determine if an event is happening purely by chance?

• 1%

• 2%

• 3%

• 5%

If Bill is not picked 20 nights in a row, what is the probability of this happening purely by chance?

• 0.001

• 0.01

• 0.1

• 0.5

What is the probability of Bill not being picked if the process is truly random?

• 0.42

• 0.5

• 0.75

• 1

What is the probability of Bill not being picked 12 nights in a row if the process is truly random?

• 0.032

• 0.1

• 0.25

• 0.5

What is the probability of Bill not being picked 20 nights in a row if the process is truly random?

• 0.001

• 0.01

• 0.1

• 0.5