Question

Plz help me i am stuck

Answer 1

Given:

The two statements.

To find:

The probability of an impossible event.

The probability of a certain event.

Solution:

Formula for probability is:

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

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

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

$P=0$

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

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

$P=1$

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