What is the formula of probability?

The basic formula for probability

P(A) = Number of favorable outcomes / Total number of outcomes

  • Where P(A) is the probability of event A happening, and
  • the numerator (Number of favorable outcomes) represents the number of ways event A can happen, and
  • the denominator (Total number of outcomes) represents the total number of possible outcomes.

The probability of an event ranges from 0 to 1,

where,

  • 0 indicates that an event is impossible, and
  • 1 indicates that an event is certain to happen.

For example,

if someone roll a fair six-sided die, the probability of rolling a 4 can be calculated as:

P(rolling a 4) = 1/6

Since there is only one favorable outcome (rolling a 4) out of a total of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).

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