(a) What is the probability that the vaccine selected is an outdated one? (b) If the vaccine selected is outdated, what is the probability that it came from unit P?

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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A doctor has taken a vaccine from either storage unit P (which contains 30 current and 10 outdated
vaccines), or from unit Q (which contains 20 current and 20 outdated vaccines), or from unit R (which
contains 10 current and 30 outdated vaccines), but she is twice as likely to have taken it from unit P as
from unit Q and twice as likely to have taken it from unit Q as from unit R.
(a) What is the probability that the vaccine selected is an outdated one?
(b) If the vaccine selected is outdated, what is the probability that it came from unit P?
Transcribed Image Text:A doctor has taken a vaccine from either storage unit P (which contains 30 current and 10 outdated vaccines), or from unit Q (which contains 20 current and 20 outdated vaccines), or from unit R (which contains 10 current and 30 outdated vaccines), but she is twice as likely to have taken it from unit P as from unit Q and twice as likely to have taken it from unit Q as from unit R. (a) What is the probability that the vaccine selected is an outdated one? (b) If the vaccine selected is outdated, what is the probability that it came from unit P?
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