To determine the probability that a randomly selected female student will be entering the workforce, we need to follow these steps:
1. Identify the total number of female students: According to the survey, the total number of female students is [tex]\( 291 \)[/tex].
2. Identify the number of female students entering the workforce: The survey results indicate that [tex]\( 83 \)[/tex] female students plan to enter the workforce.
3. Calculate the probability: The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the favorable outcome is selecting a female student entering the workforce, and the total possible outcome is selecting any female student. Hence, the probability [tex]\( P \)[/tex] is given by:
[tex]\[
P(\text{Female entering the workforce}) = \frac{\text{Number of female students entering the workforce}}{\text{Total number of female students}}
\][/tex]
Substituting the numbers from the survey:
[tex]\[
P(\text{Female entering the workforce}) = \frac{83}{291}
\][/tex]
4. Compute the probability: Performing the division yields approximately [tex]\( 0.2852233676975945 \)[/tex].
So, the probability that a randomly selected female student will be entering the workforce is approximately [tex]\( 0.2852 \)[/tex] or [tex]\( 28.52\% \)[/tex].
