SOLUTION: Ron has a 53% chance of receiving an A grade in geology, a 43% chance of receiving an A grade in mathematics, and a 76% chance of receiving an A grade in geology or mathematics (or

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Ron has a 53% chance of receiving an A grade in geology, a 43% chance of receiving an A grade in mathematics, and a 76% chance of receiving an A grade in geology or mathematics (or      Log On

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Question 180363: Ron has a 53% chance of receiving an A grade in geology, a 43% chance of receiving an A grade in mathematics, and a 76% chance of receiving an A grade in geology or mathematics (or both). Find the probability that he receives A grades in both geology and mathematics.

Answer by stanbon(48516) About Me  (Show Source):
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Ron has a 53% chance of receiving an A grade in geology, a 43% chance of receiving an A grade in mathematics, and a 76% chance of receiving an A grade in geology or mathematics (or both). Find the probability that he receives A grades in both geology and mathematics
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P(geo and math) = P(geo) + P(math) - P(geo or math)
= 0.53 + 0.43 - 0.76
= 0.96 = 0.76
= 0.20
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Cheers,
Stan H.