# Question: Adapted from the mini game Hide and Go Boom from

(Adapted from the mini-game “ Hide and Go Boom” from Nintendo’s “ Mario Party 4”) In this game, 1 player competes against 3 other players. Players 2, 3, and 4 independently select one of four slots (labeled A, B, X, and Y) in which to hide. More than one player can hide in the same slot and none of these three “ hiders” can co- ordinate their actions. Once the three are hidden, player 1 gets to select 3 of the 4 slots in which to “find” the other three players. If all three hidden players were located in the three slots chosen by player 1, then player 1 wins. If any of the three hidden players are located in the slot not selected by player 1, then the group of players 2, 3, and 4 win.

(a) What is the probability that player 1 wins?

(b) Suppose the three- player team was allowed to coordinate their hiding efforts and they decided to all hide in the same slot. What then would be the probability that player 1 wins?

(c) Now, suppose the three- player team was allowed to coordinate their hiding efforts and they decided to all hide in different slots. Now what is the probability that player 1 wins?

(a) What is the probability that player 1 wins?

(b) Suppose the three- player team was allowed to coordinate their hiding efforts and they decided to all hide in the same slot. What then would be the probability that player 1 wins?

(c) Now, suppose the three- player team was allowed to coordinate their hiding efforts and they decided to all hide in different slots. Now what is the probability that player 1 wins?

**View Solution:**## Answer to relevant Questions

(Adapted from the battle game “Bowser’s Bigger Blast” from Nintendo’s “Mario Party 4”) In this game, 4 players compete in a deadly game of chance against each other. On a stage, there are 5 detonators. One is ...Which of the following mathematical functions could be the CDF of some random variable? The voltage of communication signal is measured. However, the measurement procedure is corrupted by noise resulting in a random measurement with the PDF shown in the accompanying diagram. Find the probability that for any ...A Gaussian random variable has a PDF of the form Write each of the following probabilities in terms of Q- functions (with positive arguments) and also give numerical evaluations: (a) (X > 0), (b) (X > 2), (c) (X > –3), (d) ...Let be a Rayleigh random variable whose PDF is fa (r) = crexp (0-r2) u (r). (a) Find the value of the constant c. (b) Find Pr (R >r) for an arbitrary constant r. (c) Find Pr (R > 1 | R < 2).Post your question