Astandard number cube is tossed. find p (3 or odd) a. 1/2 b. 2/3 c. 1/3 d. 1/6

E = event space = set of outcomes we want to happen
E = set of numbers that are either 3 or odd
E = {1, 3, 5}

S = sample space = set of all possible outcomes
S = set of all the values on the standard number cube (aka dice)
S = {1, 2, 3, 4, 5, 6}

There are 3 items in the event space out of 6 total in the sample space
Using math notation, we can say n(E) = 3 and n(S) = 6. The small n means "number". So writing "n(E)" means "number of items in the event space".

So,
P(3 or odd) = n(E)/n(S)
P(3 or odd) = 3/6
P(3 or odd) = 1/2

The probability as a fraction is 1/2, which is 0.5 in decimal form. This represents a chance of 50%. Note: since 3 is an odd number, saying "P(3 or odd)" is the same as just saying "P(odd)"

Choice A. 1/2

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