The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts (a) through (c) below. Pift Click the icon to view the table. 0 of 1 (a) The student is male or received a degree in the field The probability is (Type an integer or a decimal. Round to three decimal places as needed.)
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The Deep Dive
To tackle this problem, we would need the specific numbers of male and female students who received degrees in that particular field, which you've referred to in a table. However, I can guide you on how to calculate probabilities involving events like this! When calculating the probability of either event happening (in this case, being male or receiving a degree in the field), you add the probabilities of each event and subtract the probability of both occurring, as you don’t want to double-count that section. The formula looks like this: P(Male or Degree) = P(Male) + P(Degree) - P(Male and Degree). This will give you the probability you're looking for! Now, onto common pitfalls: Remember to check if the numbers you're working with include all students in that region! If you’re missing any, your total will be skewed, affecting your probabilities. Also, don't forget to round your answer correctly to three decimal places!
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