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Вивчайте Conditional probability | Statistical Dependence
Probability Theory Update

bookConditional probability

When do we use conditional probability?

Likelihood of an event occurring if that another event has already happened.

Formula:

P(A|B) = P(A and B)/P(B)

  • P(A|B) - the probability of A given B.
  • P(A and B) - the probability of A and B.
  • P(B) - the probability of B.

Task example:

You have 25 balls: 20 **yellow and 5 blue. Among these balls, 5 yellow balls have a defect and 4 blue. The randomly selected ball is blue; calculate the probability that it has a defect.

P(A|B) = P(A and B)/P(B)

  • P(deffect and blue) = 4/25 = 0.16 = 16%.
  • P(blue) = 5/25 = 0.2 = 20%.
  • P(deffect|blue) = 16%/20% = 80%.

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Секція 2. Розділ 7

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bookConditional probability

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When do we use conditional probability?

Likelihood of an event occurring if that another event has already happened.

Formula:

P(A|B) = P(A and B)/P(B)

  • P(A|B) - the probability of A given B.
  • P(A and B) - the probability of A and B.
  • P(B) - the probability of B.

Task example:

You have 25 balls: 20 **yellow and 5 blue. Among these balls, 5 yellow balls have a defect and 4 blue. The randomly selected ball is blue; calculate the probability that it has a defect.

P(A|B) = P(A and B)/P(B)

  • P(deffect and blue) = 4/25 = 0.16 = 16%.
  • P(blue) = 5/25 = 0.2 = 20%.
  • P(deffect|blue) = 16%/20% = 80%.

Все було зрозуміло?

Як ми можемо покращити це?

Дякуємо за ваш відгук!

Секція 2. Розділ 7
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