Mathematics, 07.10.2019 00:30 panishreyashi

Asample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. if 6 wood and 14
graphite are defective and one racket is randomly selected from the sample, find the probability that the racket
is wood or defective.

Answers: 3

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Answer from: carlo123

Probability that the racket is wood or defective is 0.57.

Step-by-step explanation:

Since we have given that

Number of wood tennis rackets = 100

Number of graphite tennis rackets = 100

Total rackets = 100+100 = 200

Number of defected wood tennis rackets = 6

Number of defected graphite tennis rackets = 14

Total defective = 6+14 = 20

We need to find the probability that the racket is wood or defective.

So, Probability that the racket is wood or defective is given by

P( wood or defective) = P( wood) + P(defective) - P(Wood and defective)

Let A be the event for wood.

Let B be the event for defective.

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=\dfrac{100}{200}+\dfrac{20}{200}-\dfrac{6}{200}\\\\P(A\cup B)=\dfrac{100+20-6}{200}\\\\P(A\cup B)=\dfrac{114}{200}\\\\P(A\cup B)=0.57$

Hence, Probability that the racket is wood or defective is 0.57.

Answer from: kdawg203

The probability that the racket is wood or defective is 0.57

Further explanation

Probability is a measure quantifying the likelihood that events will occur. Probability quantifies as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. Probability also means the number of ways of achieving success, the total number of possible outcomes.

There are 3 basic rules associated with probability: the addition, multiplication, and complement rules.

The addition rule is used to calculate the probability of event A or event B happening, we express it as: P(A or B) = P(A) + P(B) - P(A and B)

A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 6 wood and 14 graphite are defective and one racket is randomly selected from the sample

Total 100w+100g=200

Defective 6w+14g= 20

$\frac{100}{200} + \frac{14}{200 } =\frac{114}{200}$

$\frac{100}{200} + \frac{14}{200 } = 0.57$

Remove the ones that are wood and defective, then The probability that the racket is wood or defective is 0.57

a. 0.525 b. 0.57 c. 0.075 d. There is insufficient information to answer the questionLearn moreLearn more about the probability Learn more about randomly selected Learn more about the probability of sample Answer details

Grade: 9

Subject: mathematics

Chapter: probability

Keywords: the probability, randomly selected, the racket, wood, defective

Answer from: Quest

Whose mistake? can you give more details to what the question is asking?

Answer from: Quest

0.02040816326

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Asample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. if 6 wood and 14

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