Joe, keitaro, and luis play tennis. to decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.
what subset, a, represents the complement of the event in which joe plays in the first match?
a) a = {kl}
b) a = {kj, kl}
c) a = {kl, lk}
d) a = {kj, kl, lj}

 The correct option is

(A) {KL}.

Step-by-step explanation: Given that Joe, Keitaro, and Luis play tennis. They put their names in a hat and choose two names without looking in order to decide who will play against each other in the first match.

We are to select the subset A that represents the complement of the event in which Joe plays in the first match.

The set of all possible outcomes (Universal set) is given by

S ={JK, KL, JL}

The event that Joe plays in the first match is given by

E = {JK, JL}

Therefore, the complement of the event E is

E' = S - E = {JK, KL, JL} - {JK, JL} = {KL}.

Thus, option (A) is CORRECT.  

{KL}

Step-by-step explanation:

The order does not matter

Hope it helps!

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.