A lot of 9 components contains 3 that are defective. Two components are drawn at random and tested. Let be the event that the first component drawn is defective, and let be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places.

Question

Mathematics

Akira

14 December, 05:24

A lot of 9 components contains 3 that are defective. Two components are drawn at random and tested. Let be the event that the first component drawn is defective, and let be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places.

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Answers (1)

Know the Answer?

Marques Vega · Answer 1

Probabilty of first component drawn defective = 0.1161

Probability of second component drawn defective = 0.1560

Step-by-step explanation:

Total component = 9

Defective component = 3

Non-defective component = 6

Probability of defective = 3/9

= 0.3333

Probabilty of non defective = 1-0.3333

= 0.6666

Probabilty of first component drawn is defective

= 9C1 (0.333) ¹ (0.6666) ^8

= 9 (0.3333) (0.0387)

= 0.1161

Probabilty of second component is defective

= 8C1 (0.3333) ¹ (0.6666) ^7

= 8 (0.3333) (0.0585)

= 0.1560