Final answer:
The probability that the door number is chosen from the numbers 1 to 150 is 0.0067 or approximately 0.67%.
Step-by-step explanation:
To find the probability that the door number is chosen at random from the numbers 1 to 150, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes = 150
Number of favorable outcomes = 1 (as only one door number will be chosen)
Therefore, the probability that the door number is chosen is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1/150 = 0.0067
So the probability that the door number is chosen is 0.0067 or approximately 0.67%