1) The small country of San Lorenzo is currently experiencing an outbreak of a disease. Of the population of 200,000 people, 43,000 are currently infected. Pharmaceutical company PlaceboCorp has been selling a vaccine, and currently, 160,000 people have been vaccinated.

Someone tips you off that the vaccine is actually a placebo though (gasp) and has no effect. If being vaccinated and being infected are independent, how many people should be vaccinated and not infected?

Answer in thousands rounded to one decimal place. (17,669 would be entered as 17.7)

2) A team of 20 people divides up into 5 groups of 4. Each member of a group flips a fair coin - the team wins if at least one group gets all heads.

What is the probability that the team wins?

Answer as a percent rounded to one decimal place (probability 0.3451 would be given as 34.5.)

3) A box contains 10 black mice and 10 white mice.

Every time someone pulls a mouse from the box, they replace it with two mice of the opposite color.

What is the probability that the first two mice removed are different colors?

Answer as a percent, rounded to one decimal place (probability 0.3451 would be given as 34.5.) [8:34 PM, 2/5/2022] Kareena Shah: A team of 20 people divides up into 5 groups of 4. Each member of a group flips a fair coin - the team wins if at least one group gets all heads.

What is the probability that the team wins?

Answer as a percent, rounded to one decimal place (probability 0.3451 would be given as 34.5.)