The Joker likes to hold a game show for unsuspecting contestants. Contestants open a door and find a surprise. Sometimes, it is a good surprise, and sometimes, they it is a bad surprise! The following events could be behind the door with the following probabilities. . Event A: The contestant finds a teddy bear (good). P(A) = 0.10 . Event B: The contestant finds a sqirt of water in the face (bad). P(B) = 0.20 . Event C: The contestant finds a box of chocolates (good). P(C) = 0.30 . Event D: The contestant finds a scary monster who screams (bad). P(D) = 0.40 Assume each contestant's find is independent of the previous. a) (0.5 pt) What is the probability that 3 contestants in a row find good prizes? b) (0.5 pt) What is the probability that at least 1 contestant out of 3 find a scary monster who screams? c) (0.5 pt) What is the probability that the first two contestants find good surprises, and the third contestant finds a bad surprise