In an examination, the probability that a student will pass Mathematics is 0.8. If the student passes Mathematics, the probability that the student will pass Chemistry is 0.9. If the students fails Mathematics, the probability that the student will fails Chemistry is 0.4. State whether the events of a student who passes Mathematics and Chemistry are independent. Give reasons for your answer.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
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In an examination, the probability that a student will pass Mathematics is 0.8. If the student passes Mathematics, the probability that the student will pass Chemistry is 0.9. If the students fails Mathematics, the probability that the student will fails Chemistry is 0.4.

State whether the events of a student who passes Mathematics and Chemistry are independent. Give reasons for your answer.

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