suppose 45 students in an organization are male and 55 are female. Ten females and 15 males in the organization are graduating students. What is the probability that a:
a.) student chosen at random is male or a graduating student?
b.) students chosen at random is female graduating student?
To find the probability in both cases, we need to calculate the ratio of the favorable outcomes to the total outcomes.
a) To find the probability that a student chosen at random is male or a graduating student, we need to find the total number of male students and graduates, and then divide it by the total number of students in the organization.
Total number of male students = 45
Number of male graduate students = 15
Total number of students = 45 (male) + 55 (female) = 100
The favorable outcomes are the male students and the male graduate students, which sums up to 45 + 15 = 60.
Therefore, the probability that a student chosen at random is male or a graduating student is:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
= 60 / 100
= 0.6 or 60%
b) To find the probability that a student chosen at random is a female graduating student, we need to find the total number of female graduate students, and then divide it by the total number of students in the organization.
Number of female graduate students = 10
The favorable outcome is the number of female graduate students, which is 10.
Therefore, the probability that a student chosen at random is a female graduating student is:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
= 10 / 100
= 0.1 or 10%