Conditional or Unconditional Probability
Looking for some help on this question. I can't figure out if this is a unconditional or conditional probability and which formulas to use.
Suppose that 18% of the employees of a given corporation engage in physical exercise activities during the lunch hour. Assume that 57% of all employees are male, and 12% of all employees are males who engage in physical exercise activities during lunch hour.
a) If we choose an employee at random from this corporation, what is the probability that this person is a female who engages in physical exercise activities during the lunch hour.
b) If we choose an employee at random from this corporation, what is the probability that this person is a female who does not engage in physical exercise activity during the lunch hour.
I am having difficulties determining if the 12% of employees who are males who engage in physical exercise activities during lunch hour is P(AIB) or if it is P(A and B) and how to answer part a and b.
Any help would be great!
Thanks
Comment on galactus's post
I am confused. How does this fit in the probability formula - P(A and B) = P (A|B) P (B)?
Comment on Unknown008's post
NO. It states 12% of all employees are males who engage in physical exercise activities during lunch hour. Does this mean 12 of 18 employees? I am confused.
Comment on Unknown008's post
But in an earlier posting you mentioned this -
No, not 12% but 12 of 18 employees who engage in physical activity are male.
The percentage is (12/18)*100% = 66.7%
Comment on Unknown008's post
OK.. so what will be the correct calculation for this?
b) If we choose an employee at random from this corporation, what is the probability that this person is a female who does not engage in physical exercise activity during the lunch hour.
Is it 37/43 OR 37/82 ?
Comment on Unknown008's post
Sure, but I was confused with Galactus's calculations above. If what you say is correct, then the answer to the other question should be 6/100?
a) If we choose an employee at random from this corporation, what is the probability that this person is a female who engages in physical exercise activities during the lunch hour.
Comment on Unknown008's post
Thanks for your help. I really appreciate.
Comment on eckartgirl's post
No.. I am all set. Thanks.