Explain Probability Ranges?

Data Science, AI and ML
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#1

The probability of an impossible event is 0 and the probability of a certain event is 1. The range of possible probabilities is: 0 ≤ P ( A ) ≤ 1 . It is not possible to have a probability less than 0 or greater than 1.

Examples:

  • It is impossible to roll an eight on a six-sided die.

P(rolling8)=0/6=0

  • In a standard 52-card deck all cards are black or red. There are no blue cards.

P(blue)=0/52=0

  • A six-sided die contains the values 1, 2, 3, 4, 5, and 6. All rolls will result in a value between 1 and 6.

P(rolling1to6)=6/6=1.00