One hundred college seniors attending a career fair at a university were categorized according to gender and according to primary career motivation. The table below shows the results. If one of these students is to be selected at random, find the probability that the student selected is , given that their primary motivation is .
Primary Career Motivation
Money
Allowed to be Creative
Sense of
Giving to Society
Total
Male
Female
Total
100
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Part 1
The probability that the student selected is , given that the primary is enter your response here.
(Simplify your answer. Type an integer or a fraction.)
The table is missing information about the number of students in each category. Without that information, it is not possible to calculate the probability.
To calculate the probability that the student selected is male, given that their primary motivation is money, we need to find the ratio of the number of male students whose primary motivation is money to the total number of students whose primary motivation is money.
From the table, we can see that there are 100 college seniors in total. To find the number of students whose primary motivation is money, we need to sum up the number of male and female students in the "Money" column, which is 40 + 20 = 60.
Next, we need to determine how many of these 60 students whose primary motivation is money are male. From the table, we see that out of the 60 students whose primary motivation is money, 40 are male.
Therefore, the probability that the student selected is male, given that their primary motivation is money, is 40/60, which simplifies to 2/3.
To find the probability that the student selected is male given that their primary motivation is money, we need to calculate the ratio of males with primary motivation as money to the total number of students with primary motivation as money.
From the table, we can see that the number of males with primary motivation as money is 100. And the total number of students with primary motivation as money is 100.
Therefore, the probability that the student selected is male given that their primary motivation is money is:
Probability = (Number of male students with primary motivation as money) / (Total number of students with primary motivation as money)
= 100 / 100
= 1
So, the probability that the student selected is male given that their primary motivation is money is 1.