The card game of Euchre employs a deck that consists of all four of each of the aces, kings, queens, jacks, tens, and nines (one of each suit-clubs, diamonds, spades, and hearts). (a) Find the probability that a randomly selected card from a Euchre deck is a jack (J). (Enter the fraction without reduction on the left hand side of "=" symbol and the final answer on the right hand side reduced to the lowest possible fraction.) P ( J) = (b) Find the probability that a randomly selected card from a Euchre deck is a spade (S). (Enter the fraction without reduction on the left hand side of "=" symbol and the final answer on the right hand side reduced to the lowest possible fraction.) P (S) = (c) Find the probability that a randomly selected card from a Euchre deck is a jack or an ace (A). (Enter the fraction reduced to the lowest possible fraction on the left hand side of "=" symbol and the final answer on the right hand side simplified to the lowest possible fraction. Leave no cells blank - be certain to enter "0" wherever required.) P ( J UA ) =(d) Find the probability that a randomly selected card from a Euchre deck is a jack or a spade. (Enter the fraction reduced to the lowest possible fraction on the left hand side of "=" symbol and the final answer on the right hand side simplified to the lowest possible fraction.) P(J US) = (e) Are the events / and A mutually exclusive? J and S? Why or why not? for J and A, for J and S; A jack and an ace occur in a single draw, where a jack and a spade occur simultaneously