2.1. Out of six computer chips, two are defective. If two chips are randomly chosen for testing (without replacement), compute the probability that both of them are defective. List all the outcomes in the sample space.

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Chapter1: Combinatorial Analysis
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3.
2.1. Out of six computer chips, two are defective. If two chips are randomly chosen for testing (without replacement), compute
the probability that both of them are defective. List all the outcomes in the sample space.
4
2.4. Among employees of a certain frm, 70% know Java, 60% know Python, and 50% know both languages. What portion of
programmers
(a) does not know Python?
(b) does not know Python and does not know Java?
(c) knows Java but not Python?
(d) knows Python but not Java?
(e) If someone knows Python, what is the probability that he/she knows Java too?
(f) If someone knows Java, what is the probability that he/she knows Python too?
Transcribed Image Text:3. 2.1. Out of six computer chips, two are defective. If two chips are randomly chosen for testing (without replacement), compute the probability that both of them are defective. List all the outcomes in the sample space. 4 2.4. Among employees of a certain frm, 70% know Java, 60% know Python, and 50% know both languages. What portion of programmers (a) does not know Python? (b) does not know Python and does not know Java? (c) knows Java but not Python? (d) knows Python but not Java? (e) If someone knows Python, what is the probability that he/she knows Java too? (f) If someone knows Java, what is the probability that he/she knows Python too?
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