Question

assume you have applied for two jobs a and b. the probability that you get an offer for job a is 0.25. the probability of being offered job b is 0.20. the probability of getting at least one of the jobs is 0.40. what is the probability that you will be offered both jobs? enter your answer as a decimal rounded to two places.

Answer 1

Answer: the probability of being offered both jobs is 0.05, or 5%

Explanation:

To solve this problem, we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A or B) is the probability of getting at least one job offer, P(A) is the probability of getting an offer for job A, P(B) is the probability of getting an offer for job B, and P(A and B) is the probability of getting an offer for both jobs.

Substituting the given values, we get:

0.40 = 0.25 + 0.20 - P(A and B)

Solving for P(A and B), we get:

P(A and B) = 0.25 + 0.20 - 0.40 = 0.05

Therefore, the probability of being offered both jobs is 0.05, or 5% (rounded to two decimal places).