An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.2, 0.4, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.7 and 0.3. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below. (a) P(B) (b) P(F | B) (c) P(B F) (d) P(F) (e) Does P(B F) = P(B) · P(F)? YesNo (f) Are B and F independent events? YesNo
An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.2, 0.4, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.7 and 0.3. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below. (a) P(B) (b) P(F | B) (c) P(B F) (d) P(F) (e) Does P(B F) = P(B) · P(F)? YesNo (f) Are B and F independent events? YesNo
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.2, 0.4, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.7 and 0.3. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below.
(a) P(B)
(b) P(F | B)
(c) P(B F)
(d) P(F)
(e) Does P(B F) = P(B) · P(F)?
(f) Are B and F independentevents ?
(b) P(F | B)
(c) P(B F)
(d) P(F)
(e) Does P(B F) = P(B) · P(F)?
YesNo
(f) Are B and F independent
YesNo
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