In a coffee cup contest, participants can roll up thebrim of their coffee cup to see if they have won a prize. On the coffee cup, it states that the odds of winninga prize are 5:1 (or 1 in 6).

a) For anyrandom coffee purchase, what is the probability of winning a prize?

Roundyour answer to at least3 decimal places.

b) If you were to buy 3 coffees in one day, what is the probability that at least one of the three would be a winning cup? (Assume that the cups can be considered independent.)

Roundyour answer toat least3 decimal places.