Math  /  Probability

QuestionA store has hats from 2 manufacturers in 3 colors. Find the probabilities for various selections based on the data provided.
a) P(Black or Manufacturer B) b) P(Red) c) P(Manufacturer B and Red) d) P(Manufacturer B or Red)
Use decimal or fraction rounded to three places.

Studdy Solution
Calculate the probability.
(ManufacturerBRed)=56114+4511426114=751140.658(Manufacturer\, B \cup Red) = \frac{56}{114} + \frac{45}{114} - \frac{26}{114} = \frac{75}{114} \approx0.658a) The probability that the hat was Black or was from Manufacturer B is approximately0.711. b) The probability that the hat was Red is approximately0.395. c) The probability that the hat was from Manufacturer B and was Red is approximately0.228. d) The probability that the hat was from Manufacturer B or was Red is approximately0.658.

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