Question

4 PROBABILITY (16) An experiment consists of tossing a fair coin (head and tail T) three times. The sample space S in this experiment is S - (HT), and a possible event Ecould be E = {H,H). (1) True. (2) False (17) Which of the following statements is true? (1) The set of all possible events of an experiment is called the sample space, S. (2) If an experiment is performed more than once, one and only one event can occur. (3) If two events A and B are mutually exclusive, then P(AUB) = 0. (4) A simple event is the outcome observed on a single repetition of an experiment. Problem D: An experiment can result in one or both of events A and B with the probabilities shown in the table below. B BC А A 0.42 0.21 0.17 0.20 (18) Refer to Problem D. Calculate the probabilities P(A) and P(B). (1) P(A) = 0.42, and P(B) = 0.42 (3) P(A) - 0.59, and P(B) = 0.63 (2) P(A) = 0.63, and P(B) = 0.59 (4) P(A) = 0.41, and P(B) = 0.37 (19) Refer to Problem D. Find the probability P(ANB). (1) 0.59 (3) 0.42 (2) 0.21 (4) 0.17 (20) Refer to Problem D. Calculate the probability P(AB). (1) About 0.67 (3) About 0.94 (2) About 0.71. (4) About 0.52

Answer 1

(16) false S ={ HHH, HHT , HTH, THH, TTH, HTT, THT ,TTT }

(17) Which of the following statements is true? (1) The set of all possible events of an experiment is called the sample space, S.

(18) Refer to Problem D. Calculate the probabilities P(A) and P(B). (3) P(A) - 0.59, and P(B) = 0.63

(19) Refer to Problem D. Find the probability P(ANB). (3) 0.42

(20) P(A/B) = P( A&B) / P(B)

= 0.42/ 0.63

= 2/3 = 0.66667

(20) Refer to Problem D. Calculate the probability P(A/B). (1) About 0.67

--------------------------------------------------------------------------------------