a What is the sample space for a single spin of the wheel b

a. What is the sample space for a single spin of the wheel?

b. Consider the event that the number is black and contained within the “Tiers du Cylindre” range on the wheel (depicted as the arc from Red 27 to Black 33). What outcomes are in this event space? What is the probability of this event occurring?

Please explain, Thank you.

3 26 0 32 5 32 15 194 les Voisins du Zero Orphelns le Tiers du Cylindre

Solution

The sample space for a single spin will be all the number on the roullette.

Sample space = {1,2,3,4,5,6,....,36}

b.) Outcomes for this event will be any number lying within the \"Tiers du Cylinder\"

Outcome = {27,13,36,11,30,8,23,10,5,24,16,33}

The probability of this event occurring = 12/36 = 1/3

Since the probability of getting any one number is 1/36.