Please show work!!! In the next Great Turtle Race, there are four entries. To introduce a little excitement into the affair, the four owners A, B, C, D decide to place their bets randomly in the following manner. The names of the four turtles are placed in a hat and each owner selects a name at random without replacement.

(a) set up an appropriate sample space to describe the assignment of turtles to bettors and assign appropriate probabilities to the simple event

(b) evaluate the following events as subsets of the sample space and calculate their probability of occurrence.

(i) no owner gets his own turtle

(ii all owners gets his own turtle

(iii) the unfortunate A chooses Pokey, who always looses.

(iv)A gets B's turtle and B gets A's turtle

PLEASE SHOW WORK!!!!!!!!!!!!!