1 Answer

Gaurav Srivastav · Answer 1 · 2022-10-05T18:57:13+0000

Given:

The two statements.

To find:

The probability of an impossible event.

The probability of a certain event.

Solution:

Formula for probability is:

$P=\frac{\text{Possible favorable outcomes}}{\text{Total number of outcomes}}$

For an impossible event, the possible favorable outcomes is 0. So,

$P=\frac{0}{\text{Total number of outcomes}}$

P=0

For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,

$P=\frac{\text{Total number of outcomes}}{\text{Total number of outcomes}}$

P=1

Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.

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