3. A gene can be either type A or type B, and it can be either dominant or recessive. Assume that P(A)=0.60. If the gene is type A, then there is a probability of 0.31 that it is dominant. There is also a probability of 0.22 that it is dominant given that a gene is type B. 2 a. What is the probability that a gene is dominant? b. What is the probability that a gene is type A given that it is dominant?

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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3. A gene can be either type A or type B, and it can be either dominant or
recessive. Assume that P(A)=0.60. If the gene is type A, then there is a probability of
0.31 that it is dominant. There is also a probability of 0.22 that it is dominant given
that a gene is type B.
a. What is the probability that a gene is dominant?
b. What is the probability that a gene is type A given that it is dominant?
Transcribed Image Text:3. A gene can be either type A or type B, and it can be either dominant or recessive. Assume that P(A)=0.60. If the gene is type A, then there is a probability of 0.31 that it is dominant. There is also a probability of 0.22 that it is dominant given that a gene is type B. a. What is the probability that a gene is dominant? b. What is the probability that a gene is type A given that it is dominant?
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