Use the contingency table to the right to determine the probability of events. a

Question

Use the contingency table to the right to determine the probability of events. a. What is the probability of event A'? b. What is the probability of event A and B? c. What is the probability of event A' and B'? d. What is the probability of event A' or B'? A 30 20 a. The probability of event A' is (Type an integer or decimal rounded to three decimal places as needed.) b. The probability of event A and B is (Type an integer or decimal rounded to three decimal places as needed.) c. The probability of event A' and B' is (Type an integer or decimal rounded to three decimal places as needed.) d. The probability of event A, or B' is [-]. (Type an integer or decimal rounded to three decimal places as needed.)

Explanation / Answer

a) probability of event A = (30 + 20) / (60 + 80 + 30 + 20) = 50 / 190 = 0.263

b) probability of event A and B = 80 / 190 = 0.421

c) probability of event A' and B' = 20 / 190 = 0.105

d) probability of event A' or B' = p(A') + p(B') - p(A' and B')

= (50 + 80 - 20) / 190

= 110 / 190

= 0.579

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