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Answer:
1/1000
Step-by-step explanation:
The probability of two independent events A, B (independent = events that do not depend on each other) is given by the product of the individual probabilities of A and B:
(1)
In this problem, the single event is "getting a 3" when extracting a random number between 1 and 10.
The total number of possible outcomes is
n = 10
While the number of succesfull outcomes (getting a 3) is only one:
So, the probability of drawing a 3 in 1 draw is
Then, we want to find the probability of getting three "3" in 3 consecutive generations. These events are independent events, so we can use rule (1) to find the total probability, and we get: