The problem describes a game where one card is randomly selected from a list of four cards (P, Q, R, S), replaced, and then another card is randomly selected. The question asks for the list that contains all possible outcomes of selecting two cards in this way.

1. Problem Description

The problem describes a game where one card is randomly selected from a list of four cards (P, Q, R, S), replaced, and then another card is randomly selected. The question asks for the list that contains all possible outcomes of selecting two cards in this way.

2. Solution Steps

Since the first card is replaced, the selections are independent.

The possible first selections are P, Q, R, or S.

The possible second selections are P, Q, R, or S.

Therefore, the possible outcomes are:

PP

PQ

PR

PS

QP

QQ

QR

QS

RP

RQ

RR

RS

SP

SQ

SR

SS

We need to find the list of options that matches these combinations.

Looking at the options:

A. P and Q, P and R, P and S, Q and P, Q and R, Q and S, R and Q, R and S, S and Q, S and R.

B. P and P, P and Q, P and R, P and S, Q and R, Q and S, R and S.

C. P and Q, P and R, P and S, Q and R, Q and S, R and S.

D. P and P, P and Q, P and R, P and S, Q and P, Q and Q, Q and R, Q and S, R and P, R and Q, R and R, R and S, S and P, S and Q, S and R, S and S.

Option D includes all the possible pairs.

3. Final Answer

D