The table below provides summary information about students in a class. The sex of eachindividual and the major is given. MaleFemaleTotalAccounting121830Finance10818Other262652Total4852100 A student is randomly selected from this group, and it is found that the student is a male. What is the probability that the student is majoring in accounting?Question 4Answera.0.25b.0.12c.0.30d.0.40
Question
The table below provides summary information about students in a class. The sex of eachindividual and the major is given. MaleFemaleTotalAccounting121830Finance10818Other262652Total4852100 A student is randomly selected from this group, and it is found that the student is a male. What is the probability that the student is majoring in accounting?Question 4Answera.0.25b.0.12c.0.30d.0.40
Solution
To solve this problem, we need to find the probability that a randomly selected male student is majoring in accounting.
Step 1: Identify the total number of male students. From the table, we can see that there are 48 male students in total.
Step 2: Identify the number of male students majoring in accounting. From the table, we can see that there are 12 male students majoring in accounting.
Step 3: Calculate the probability. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcome is a male student majoring in accounting, and the total outcomes are all male students.
So, the probability (P) that a randomly selected male student is majoring in accounting is calculated as follows:
P(Accounting | Male) = Number of male students majoring in accounting / Total number of male students = 12 / 48 = 0.25
So, the answer is a. 0.25.
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