Let the sample space be Upper S equals {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally likely. Compute the probability of the event E = "an odd number less than 7​." P(E) =

GPT-5.4

Answer: P(E) = 3/10.

The sample space has 10 equally likely outcomes: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The event E is "an odd number less than 7," so the favorable outcomes are {1, 3, 5}. There are 3 such outcomes. Therefore, the probability is the number of favorable outcomes divided by the total number of outcomes: P(E) = 3/10.

Claude Opus 4

Answer: P(E) = 3/10.

The sample space is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, which contains 10 equally likely outcomes. The event E is defined as "an odd number less than 7." The odd numbers in S are {1, 3, 5, 7, 9}. Among these, the ones that are less than 7 are {1, 3, 5}. So E = {1, 3, 5}, which contains 3 outcomes. Since all outcomes are equally likely, P(E) = |E| / |S| = 3 / 10.

Grok 4.20

Answer: The probability P(E) is 3/10.

The sample space S consists of the numbers 1 through 10, giving a total of 10 equally likely outcomes. Event E requires an odd number that is also less than 7, which matches the set {1, 3, 5}. This means there are exactly 3 favorable outcomes. The probability is therefore the ratio of favorable to total outcomes, which simplifies to 3/10.

Gemini 3.1 Pro

Answer: P(E) = 3/10

To find the probability of the event E, we first need to determine the total number of outcomes in the sample space S. Since S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, there are 10 equally likely possible outcomes. Next, we identify the specific outcomes that make up the event E, which is defined as getting 'an odd number less than 7'. The odd numbers in the sample space are 1, 3, 5, 7, and 9. Among these, the numbers strictly less than 7 are 1, 3, and 5. Therefore, the event space is E = {1, 3, 5}, which contains exactly 3 outcomes. Finally, because all outcomes in the sample space are equally likely, the probability P(E) is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This gives us P(E) = 3/10 (or 0.3).

Final Summary

The AI Roundtable reached a unanimous consensus, with all four models identifying the favorable outcomes as {1, 3, 5}. GPT-5.4 and Claude Opus 4 highlighted that while there are five odd numbers in the set, the 'less than 7' constraint narrows the field to just three. Gemini 3.1 Pro and Grok 4.20 confirmed the final ratio against the ten equally likely possibilities, leaving no room for debate.

All 4 models agreed