Pick a student at random. Let B denote the event that the student ate breakfast this morning; let M denote the event that the student is male.One of the following choices is larger than the other two. Which is it?P(B)P(B or M)P(B and M)One of the following choices is smaller than the other two. Which is it?P(B)P(B or M)P(B and M)
Question
Pick a student at random. Let B denote the event that the student ate breakfast this morning; let M denote the event that the student is male.One of the following choices is larger than the other two. Which is it?P(B)P(B or M)P(B and M)One of the following choices is smaller than the other two. Which is it?P(B)P(B or M)P(B and M)
Solution
The answer to your question depends on the specific probabilities of each event, which are not provided in your question. However, I can explain the general concept.
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P(B or M) is likely to be the largest. This is because it includes all students who either ate breakfast or are male or both. So it covers the most possibilities.
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P(B and M) is likely to be the smallest. This is because it only includes students who are both male and ate breakfast. So it covers the least possibilities.
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P(B) falls somewhere in between. It includes all students who ate breakfast, regardless of their gender.
Again, these are general assumptions. The actual answer could vary depending on the specific probabilities of each event.
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