SOLUTION: Consider an experiment of drawing two cards at random from a bag containing four cards marked with the letters a through d. a) Find the sample space S , of the experiment if the fi

Question 1114806: Consider an experiment of drawing two cards at random from a bag containing four cards marked with the letters a through d. a) Find the sample space S , of the experiment if the first card is replaced before the second is drawn. b) Find the sample space S, of the experiment if the first card is not replaced.
Found 2 solutions by rothauserc, ikleyn:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
a) Sample space with replacement
:
(a,a), (a,b), (a,c), (a,d)
(b,a), (b,b), (b,c), (b,d)
(c,a), (c,b), (c,c), (c,d)
(d,a), (d,b), (d,c), (d,d)
:
b) Sample space without replacement
:
(a,b), (a,c), (a,d)
(b,a), (b,c), (b,d)
(c,a), (c,b), (c,d)
(d,a), (d,b), (d,c)
:

Answer by ikleyn(52834) (Show Source): You can put this solution on YOUR website!
.

a) In this case, the sample space is the space of all 2-letter words of the alphabet {a,b,c,d} with the repetition of letters allowed. b) In this case, the sample space is the space of all 2-letter words of the alphabet {a,b,c,d} with the repetition of letters prohibited.

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