7. A box contains 15 components. This box was dropped in transit and five components became defective, but not visibly. a) If 2 components are selected at random without replacement from the box, what is the probability that i) both are good 10 ii) only one is good? b) If the components are taken at random from the box and tested until a good one is obtained, what is the probability that the first good component obtained is the i) 2nd component tested, ii) 3rd component tested?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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7. A box contains 15 components. This box was dropped in transit and five components became
defective, but not visibly.
a) If 2 components are selected at random without replacement from the box, what is the probability that
i) both are good
10
ii) only one is good?
b) If the components are taken at random from the box and tested until a good one is obtained, what is the
probability that the first good component obtained is the
i) 2nd component tested,
ii) 3rd component tested?
Transcribed Image Text:7. A box contains 15 components. This box was dropped in transit and five components became defective, but not visibly. a) If 2 components are selected at random without replacement from the box, what is the probability that i) both are good 10 ii) only one is good? b) If the components are taken at random from the box and tested until a good one is obtained, what is the probability that the first good component obtained is the i) 2nd component tested, ii) 3rd component tested?
3. In Pleuville, whether it will rain on any day is independent of whether it rains on any other day.
The probability that it will rain on any day is 0.6. Calculate the probability that next week it will rain on
Monday, not rain on Tuesday and rain on Wednesday.
[2]
200)
Page 1 of 4
Transcribed Image Text:3. In Pleuville, whether it will rain on any day is independent of whether it rains on any other day. The probability that it will rain on any day is 0.6. Calculate the probability that next week it will rain on Monday, not rain on Tuesday and rain on Wednesday. [2] 200) Page 1 of 4
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