A bag contains the two tiles shown. One tile is drawn at random from the bag. The tile is returned to the bag and again a tile is drawn from the bag.

Question

What is the sample space for this experiment?



A.
{L, M}

B.
{LL, LM, MM}

C.
{LL, LM, ML, MM}

D.
{L}

Answer 1

A{L,M}

Answer 2

{L,M} is the Ω (sample space) for one single draw.
When there are two draws one after another with replacement, the sample space will contain
LL
LM
ML
MM