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الرياضيات الإعدادي

How do you calculate probability?

كتبه وراجعه مدرّسو Studoli · آخر تحديث

الإجابة المختصرة

Probability = number of favourable outcomes ÷ total number of equally likely outcomes. It is always between 0 (impossible) and 1 (certain), and can be written as a fraction, decimal or percentage. The probability of an event not happening is 1 minus the probability that it happens.

خطوة بخطوة

  1. Count all the possible outcomes, making sure they are equally likely.
  2. Count the outcomes you want.
  3. Divide the outcomes you want by the total and simplify.
  4. For two independent events both happening, multiply their probabilities.
  5. For either of two outcomes that cannot happen together, add their probabilities.

مثال محلول

A bag has 3 red, 5 blue and 2 green counters. One is taken at random.

  • Total: 3 + 5 + 2 = 10
  • P(blue) = 5/10 = 1/2
  • P(not green) = 1 − 2/10 = 8/10 = 4/5

أخطاء شائعة

  • Giving a probability greater than 1.
  • Forgetting to reduce the total when an item is not replaced.
  • Adding probabilities when both events must happen. Use multiplication for and.

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