Question

Use the data in the table below, which shows the favorite breakfast of individuals in a particular town by age group.

Age	Bacon and Eggs	Pancakes	Cereal
0—17	25	176	337
18—25	321	187	163
26—34	441	63	22
35—49	549	182	139
50+	494	170	255

If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or prefers pancakes?

Answer 1

Age	Bacon and Eggs	Pancakes	Cereal
0—17	25	176	337	538
18—25	321	187	163	671
26—34	441	63	22	526
35—49	549	182	139	870
50+	494	170	255	919
Total	1830	778	916	3524

P( under 18 or chooses pancakes)

P(A U B). = P(A) + P(B) - P(A B)  

P( under 18 or chooses pancakes) = P(under 18) + P (chooses pancakes) - P(under 18 and chooses pancake)

P (under 18) = 538 / 3524

P(chooses pancakes) = 778 / 3524

P(under 18 & chooses pancakes ) = 176/ 3524

P( under 18 or chooses pancakes) = 538/ 3524 + 778/3524. - 176/3524 = 1140 / 3524 = 0.3235

P( under 18 or chooses pancakes) = 0.3235