Final answer:
The probability that a randomly selected student from a class consisting of 24 women and 41 men is a woman is 36.92%.
Step-by-step explanation:
To calculate the probability that a randomly selected student is a woman, we will use the following formula:
Probability (P) = Number of favorable outcomes / Total number of possible outcomes
Here, the favorable outcomes are the number of women in the class, which is 24. The total number of possible outcomes is the total number of students in the class, which is the sum of women and men, 24 + 41 = 65.
Therefore, the probability that a randomly selected student is a woman is:
P(woman) = 24 / 65
Calculating this gives us:
P(woman) = 0.3692 (rounded to four decimal places)
Thus, there is a 36.92% chance that the student selected will be a woman.