Respuesta :
Answer:
10,000
Step-by-step explanation:
There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code.
Number of ways(Outcomes) can Mark create a 4 - digit code for his garbage door opener are 10000.
What is probability?
"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. When dealing with probability, the outcomes of a process are the possible results."
For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6.
According to the question,
Mark want 4 digit code for his garage door opener
Possible outcome for 1st digit n(E1) = {0,1,2,3,4,5,6,7,8,9}
=10
Possible outcome for 2nd digit n(E2) = {0,1,2,3,4,5,6,7,8,9}
=10
Possible outcome for 3rd digit n(E3) = {0,1,2,3,4,5,6,7,8,9}
=10
Possible outcome for 4th digit n(E4) = {0,1,2,3,4,5,6,7,8,9}
=10
Total Possible outcome for 4 - digit code= 10×10×10×10 = 10000
∴ Number of ways(Outcomes) can Mark create a 4 - digit code for his garbage door opener are 10000.
Learn more about Outcomes and probability here
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