find the probability of getting an even number and a multiple of 3
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Let A be an event of getting even numbers and
Let B be an event of getting number which is a multiple of 3
S = {1, 2, 3, 4, 5, 6} , |S| = 6
A = {2, 4, 6}, |A| = 3
B = {3, 6}, |B| = 2
Probability of getting the event A or B is P(A U B)
P(AUB) = P(A) + P(B) - P(A^B) [ read ^ as intersection]
Both A and B are independent events so the 3rd shall be 0
therefore, P(AUB) = P(A) + P(B)
P(A) = |A| / |S| = 3/6 = 1/2
P(B) = |B| / |S| = 2/6 = 1/3
P(AUB) = 1/2 + 1/3 = 0.83 or 83%
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