Question

Suppose a box contains 10 defective batteries and 18 good batteries. If 2 batteries are drawn from the box without replacement, what is the probability that the following will occur? (Enter your probabilities as fractions.) (a) the first one is good and the second one is defective (b) the first one is defective and the second one is good (c) one of the batteries drawn is good and one of them is defective

Name: suppose a box contains 10 defective batteries and 18 good batteries if 2 batteries are drawn from the box without replacement what is the probability that the following will occur enter your 01408
Uploaded: 2022-04-15T07:07:14-08:00
Duration: 3 min 3 s
Channel: Shaiju T
Description: suppose a box contains 10 defective batteries and 18 good batteries if 2 batteries are drawn from the box without replacement what is the probability that the following will occur enter your 01408

          Suppose a box contains 10 defective batteries
and 18 good batteries. If 2 batteries are drawn from the
box without replacement, what is the probability that the following
will occur? (Enter your probabilities as fractions.)
(a) the first one is good and the second one is defective
(b) the first one is defective and the second one is good
  
(c) one of the batteries drawn is good and one of them is
defective

Added by Maria L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Shaiju T

04/15/2022

Step 1

- Probability of first battery being good: \( \frac{18}{28} = \frac{9}{14} \) - Probability of second battery being defective given the first one was good: \( \frac{10}{27} \) - Multiply the probabilities: \( \frac{9}{14} \times \frac{10}{27} = \frac{5}{21} \) Show more…

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Suppose a box contains 10 defective batteries and 18 good batteries. If 2 batteries are drawn from the box without replacement, what is the probability that the following will occur? (Enter your probabilities as fractions.) (a) the first one is good and the second one is defective (b) the first one is defective and the second one is good (c) one of the batteries drawn is good and one of them is defective