<h3>
Answer: 0.563 (choice C)</h3>
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Explanation:
E = event space
E = set of outcomes we want to happen
E = rolling a multiple of 4 or rolling an odd prime number
E = {4,8,12,16 3,5,7,11,13}
n(E) = number of items in set E
n(E) = 9, (four multiples of 16+five ways to roll odd prime number)
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S = sample space
S = set of all possible outcomes (whether we want them to happen or not)
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}
n(S) = number of items in set S
n(S) = 16
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P(E) = probability of event space occurring
P(E) = probability of rolling a multiple of 4 or rolling an odd prime number
P(E) = n(E)/n(S)
P(E) = 9/16
P(E) = 0.5625
P(E) = 0.563
