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.
Answer:
The velocity of the hail relative to the cyclist is
The angle at which hailstones falling relative to the cyclist is
Step-by-step explanation:
Given : On a cold day, hailstones fall with a velocity of . If a cyclist travels through the hail at
.
To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?
Solution :
The velocity of the hailstone falls is
The velocity of the cyclist travels through the hail is
The velocity of the hail relative to the cyclist is given by,
Substitute the value in the formula,
So, The velocity of the hail relative to the cyclist is
Now, The angle of hails falling relative to the cyclist is given by
So, The angle at which hailstones falling relative to the cyclist is