At the corner of Texas Ave and University Dr the probability of vehicles of a particular make and color speeding at a given time is recorded. Let F represent a Ford speeding, K if it is a Kia, B if it is a BMW, and R if the colour is red. The probabilities are:      P(B) = 0.40 P(F) = 0.24 P(K) = 0.15 P(R) = 0.20 P(B ∩ R) = 0.07 (i) Calculate the probability that a speeding vehicle is either red or a BMW (ii) Calculate the probability that the speeding vehicle is not red. (iii) Using the fact that different vehicle make describes mutually exclusive events, bound the probability that a speeding vehicle is a Chevrolet

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
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At the corner of Texas Ave and University Dr the probability of vehicles of a particular make and color speeding at a given time is recorded. Let F represent a Ford speeding, K if it is a Kia, B if it is a BMW, and R if the colour is red. The probabilities are:

     P(B) = 0.40 P(F) = 0.24 P(K) = 0.15 P(R) = 0.20 P(B ∩ R) = 0.07

(i) Calculate the probability that a speeding vehicle is either red or a BMW

(ii) Calculate the probability that the speeding vehicle is not red.

(iii) Using the fact that different vehicle make describes mutually exclusive events, bound the probability that a speeding vehicle is a Chevrolet

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