Probability of independent events

Question

If there is a 2% chance that an item shipped by shipping center A is damaged as it is shipped and a 1% chance that an item shipped by shipping center B is damaged as it is shipped, what is the probability neither an item shipped by center A nor an item shipped by center B is damaged as they are shipped?

Answer 1

Here, there is a 2% chance that an item from center A is damaged. By subtraction, there is a 98% chance that an item is not damaged.

 

Similarly, there is a 1% chance that an item from center B is damaged. By subtraction, there is a 99% chance that an item is not damaged.

 

To find the probability of two events, multiply the probabilities of those events.

 

To find the probability of neither item being damaged, multiply 98% by 99%.

 

.98 * .99 = 0.9702 or 97.02%