An introductory psychology class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12 sophomore females. If one student is randomly selected from this class, what is the probability of selecting a female? Round to the nearest hundredths place if a fraction
Total number of students:
9+15+8+12=44
Total number of females:
15+12=27
The selection is random, so all students have equal probability of being selected.
So the probability of selecting a female is 27/44. Convert to a fraction and round to the nearest hundredth (i.e. two places after the decimal point).
Well, let me calculate that for you.
First, we need to find the total number of students in the class:
Total students = 9 (freshman males) + 15 (freshman females) + 8 (sophomore males) + 12 (sophomore females) = 44
Next, we need to find the total number of females in the class:
Total females = 15 (freshman females) + 12 (sophomore females) = 27
Now, we can calculate the probability of selecting a female by dividing the total number of females by the total number of students:
Probability of selecting a female = Total females / Total students = 27 / 44 ≈ 0.61
So, the probability of selecting a female from this class is approximately 0.61, or 61%.
To find the probability of selecting a female student, we need to calculate the fraction of female students out of the total number of students.
The total number of students in the class can be calculated by summing the number of students in each category:
Total number of students = freshman males + freshman females + sophomore males + sophomore females
Total number of students = 9 + 15 + 8 + 12 = 44
The number of female students in the class is the sum of freshman females and sophomore females:
Number of female students = freshman females + sophomore females = 15 + 12 = 27
Therefore, the probability of selecting a female student is given by:
Probability of selecting a female = Number of female students / Total number of students
Probability of selecting a female = 27 / 44 ≈ 0.6136
Rounded to the nearest hundredths place, the probability of selecting a female student is approximately 0.61.
To find the probability of selecting a female student, we need to compare the number of females to the total number of students in the class.
There are 15 freshman females and 12 sophomore females, so the total number of female students is 15 + 12 = 27.
Now, let's calculate the total number of students in the class:
- There are 9 freshman males, 15 freshman females, 8 sophomore males, and 12 sophomore females.
- So, the total number of students is 9 + 15 + 8 + 12 = 44.
To find the probability, we divide the number of favorable outcomes (27) by the total number of possible outcomes (44):
Probability = Number of favorable outcomes / Total number of possible outcomes
Therefore, the probability of selecting a female student is:
Probability = 27 / 44 ≈ 0.6136 (rounded to the nearest hundredths place)
So, the probability of selecting a female student is approximately 0.61.