Question

Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement. Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater. The sample space of possible outcomes is listed below. A represents an ace, and K represents a king.

Required:
Who is correct, Amy or Samiha?

Answer 1

Amy

Explanation:

Answer 2

Samiha is correct.
if there’s fewer of something compared to something else, it’s less likely for those to picked.