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When we spin a fair spinner marked 1, 2, and 3 twice and add the results, we are looking at the probability of a combined event.
To achieve a total of 3, the outcomes could be (1,2) or (2,1), since the spinner has only three numbers.
The probability of spinning a 1 on the first spin and a 2 on the second spin is 1/3 multiplied by 1/3, as the events are independent.
Similarly, the probability of spinning a 2 first followed by a 1 is also 1/3 multiplied by 1/3.
Therefore, the probability of getting a total of 3 can be calculated as follows:
Since either one of these outcomes will give us the total of 3, we add the two probabilities:
Probability of 1 and 2 or 2 and 1 is:
