probability of a defective racket

Statistics
Tutor: None Selected Time limit: 1 Day

A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse.  If wood and graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.

Jun 4th, 2015

Thank you for the opportunity to help you with your question!

you did'nt mention how much we selected but this is complete solution you can add selected pieces accordingly

i selected 5 wood and 10 graphite are defective

We must notice that the requirement for "wood or defective" excludes "wood and defective" choices!!

15 in 200 rackets are defective so the chance of choosing a defective racket is 15/200 = 0.075
The probability that the choice is wood but not defective is 95/200 = 0.475 so that the total probability of wood or defective = 0.075 + 0.475 = 0.55

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 4th, 2015

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