Question

thirty-two persons have applied for a security guard position with a company of. them, seven have previous experience in this area and 25 do not. suppose one applicant is selected at random. consider the following two events: this applicant has previous experience, and this applicant does not have previous experience. if you were to find probabilities of these two events, would you use the classical or the relative frequency approach? explain why.

Answer 1

It is given that 7 out of 32 have previous experience and 25 out of 32 dont have previous experience.

let A be the event that selected applicant has previous experience and B be the event that selected applicant does not have previous experience.

It is same as the probability of tossing a coin, where we have two possible outcome because in this case also, we have only two possible outcome. First outcome is that the selected applicant has previous experience and second outcome is that selected applicant does not have previous experience.

So, classical probability is appropriate to use in this case because both events are equally likely outcomes

We know that probabiity is defined as favourable outcome divided by total outcome

There are 7 favourable outcomes for event that that selected applicant has previous experience and 25 favourable outcome for the event that selected applicant does not have previous experience and 35 is the total outcome.

Therefore, P(A) = 7/32 and P(B) = 25/35