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Given:
The two statements.
To find:
The probability of an impossible event.
The probability of a certain event.
Solution:
Formula for probability is:
For an impossible event, the possible favorable outcomes is 0. So,
For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,
Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.