Question

A box contains three cards. On one card there is a question mark ​(Upper Q​), on another card there is a pear ​(Upper P​), and on the third card there is a moon ​(Upper M​). Two cards are to be selected at random with replacement. Complete parts​ (a) through​ (e) below. ​a) Determine the number of sample points in the sample space.

Answer 1

Answer:

• There are six pairs in the sample space.

Explanation:

The only question shown is a) Determine the number of sample points in the sample space.

The box contains three cards. They are each marked. The representations of the marks are the letters Q, P and M. Thus, the cards are marked:

• one with a Q,
• other with a P, and
• other with an M.

Two cards are to be selected at random with replacement.  Thus, the possibilities are:

First card, second card

   Q                   P

   Q                   M

   P                    Q

   P                    M

   M                   Q

   M                   P

Therefore, the sample space contains 6 pairs (points): QP, QM, PQ, PM, MQ, MP.