Question about Event Classification
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Event Classification
Event Classification
Difficulty Hard
Hard
(Originais Teachy 2023) - Question Hard of Mathematics
Imagine you have a perfect die, with all faces exactly the same, where each face is numbered from 1 to 6. Now, suppose you need to roll the die and observe the number that comes up. We have three possible events: (A) getting an even number, (B) getting a number greater than 4, and (C) getting an odd number. Based on probability concepts, evaluate which event is most likely to occur and which is least likely to occur. Provide a mathematical justification for your answer, indicating the sample space, the number of favorable events for each case, and the relationship between these events and the total sample space.a.
The most likely event to occur is getting an even or odd number (events A and C), which have the same probability, 1/3. The least likely event is getting a number greater than 4 (event B), which has a probability of 1/2.
b.
The most likely event to occur is getting a number greater than 4 (event B), which has a probability of 1/3. The least likely event is getting an even or odd number (events A and C), which have the same probability, 1/2.
c.
The most likely event to occur is getting an even number (event A), which has a probability of 1/3. The least likely event is getting an odd number (event C), which has a probability of 1/2.
d.
The most likely event to occur is getting an odd number (event C), which has a probability of 1/6. The least likely event is getting an even number (event A), which has a probability of 1/3.
e.
The most likely event to occur is getting an even or odd number (events A and C), which have the same probability, 1/2. The least likely event is getting a number greater than 4 (event B), which has a probability of 1/3.
Answer sheet:
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Answer sheet
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