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Probability

Probability

  • For equally likely outcomes the probability that something will happen is

    • Probability = number of successful outcomes / total number of possible outcomes

  • If you know the probability that an event will happen, you can calculate the probability that it won’t happen

Add or multiply

  • Events are mutually exclusive if they can’t both happen at the same time

  • For mutually exclusive events

    • P( A or B ) = P(A) + P(B)

  • Events are independent if the outcome of one doesn’t affect the outcome of the other

  • For independent events

    • P(A and B) = P(A) X P(B)

Sample space diagrams

  • A sample space diagram shows you all the possible outcomes of an event

  • Here are all the possible outcomes when two coins are flipped

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Probability

Probability

  • For equally likely outcomes the probability that something will happen is

    • Probability = number of successful outcomes / total number of possible outcomes

  • If you know the probability that an event will happen, you can calculate the probability that it won’t happen

Add or multiply

  • Events are mutually exclusive if they can’t both happen at the same time

  • For mutually exclusive events

    • P( A or B ) = P(A) + P(B)

  • Events are independent if the outcome of one doesn’t affect the outcome of the other

  • For independent events

    • P(A and B) = P(A) X P(B)

Sample space diagrams

  • A sample space diagram shows you all the possible outcomes of an event

  • Here are all the possible outcomes when two coins are flipped