Question: Consider a well shuffled card deck. You select one card at random: a. What is the probability you select an ace? b. What is the

  1. Consider a well shuffled card deck. You select one card at random:

a. What is the probability you select an ace?

b. What is the probability that you choose heart?

c. What is the probability you do not choose a heart?

c. What is the probability you choose a king or a queen?

  1. Suppose we have two hats: one has 4 red balls and 6 green balls; the other has 6 red and 4 green. We toss a fair coin. If heads, we pick a random ball from the first hat; if tail from the second. What is the probability of getting a red ball?
  2. You play a game with two six-sided dice. If you roll a sum of 6 or 8, you win 3 dollars. If you roll a sum of 11, you win 1 dollar, but for anything else, you lose 2 dollars.

a. What is the probability you win 3 dollars for playing the game once?

b. What is the probability that you loss money for playing the game once?

c. If you play the game twice, what is the probability that you will end up winning money?

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