Final answer:
The question relates to the probability of mutually exclusive events A and B in Mathematics. The main answer to the question 'What is Pr(A U B)?' is obtained by adding the two probabilities together: 0.23 (for A) + 0.38 (for B) = 0.61.
Step-by-step explanation:
In Mathematics, specifically in probability, when events A and B are mutually exclusive, it means they cannot happen at the same time. If A and B are mutually exclusive, the probability of either A or B happening - denoted Pr(A U B) - is simply the sum of their individual probabilities.
To calculate Pr(A U B) for the given probabilities of A and B, we add the two probabilities together:
Adding these gives:
Pr(A U B) = Pr(A) + Pr(B) = 0.23 + 0.38 = 0.61
The main answer to the question 'What is Pr(A U B)?' is 0.61.
In conclusion, when dealing with probabilities of mutually exclusive events, one just needs to sum the individual probabilities to get the probability of either event happening. In the case presented, the probability of either A or B happening equals 0.61.
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