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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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Question 3
(a) In a certain selection of flower seeds have been treated to improve germination and have
been left untreated. The seeds which have been treated have a probability of germination of 0.8,
whereas the untreated seeds have a probability of germination of 0.5.
(i) Find the probability that a seed, selected at random, will germinate.
The seeds were sown and given time to germinate.
(ii) Find the probability that a seed selected at random had been treated, given that it had
germinated.
(b) A witness reported that a car seen speeding away from the scene of the crime had a number
plate that begins with V or W, the digits were 4, 7 and 8 and the end letters were A, C, E. He
could not however remember the order of the digits or the end letters. How many cars would
need to be checked to be sure of including the suspect car?
Transcribed Image Text:Question 3 (a) In a certain selection of flower seeds have been treated to improve germination and have been left untreated. The seeds which have been treated have a probability of germination of 0.8, whereas the untreated seeds have a probability of germination of 0.5. (i) Find the probability that a seed, selected at random, will germinate. The seeds were sown and given time to germinate. (ii) Find the probability that a seed selected at random had been treated, given that it had germinated. (b) A witness reported that a car seen speeding away from the scene of the crime had a number plate that begins with V or W, the digits were 4, 7 and 8 and the end letters were A, C, E. He could not however remember the order of the digits or the end letters. How many cars would need to be checked to be sure of including the suspect car?
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