Suppose we roll a regular six-sided die three times and note whether it lands as an even number (E) or an odd number (O) on each roll. Which of the following describes the sample space for this random experiment?

CHOOSE ONE

A
{EEE, OOO}

B
{E, O}

C
{3E's, 2O's and 1 E, 1 E and 2 O's, 3 O's}

D
{EEE, EEO, OEO, OEE, EOO, EOE, OOE, OOO}

E
none of these

Question

Suppose we roll a regular six-sided die three times and note whether it lands as an even number (E) or an odd number (O) on each roll. Which of the following describes the sample space for this random experiment?

CHOOSE ONE

A
{EEE, OOO}

B
{E, O}

C
{3E's, 2O's and 1 E, 1 E and 2 O's, 3 O's}

D
{EEE, EEO, OEO, OEE, EOO, EOE, OOE, OOO}

E
none of these

irishboy123 · Answer

this is how you do the probability tree.  i then checked my outcomes one-by-one against the answer that seemed right, ie D.

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