1. Assume that a fair die isrolled.The sample space is{1,2,3,4,5,6,} and all the outcomes are equallylikely.FindP (less than 2.) Write your answer as a fraction or whole number
2. P (less than 2) =

LetV be the event that a computer contains a virus, and let W be the event that a computer contains a worm. Suppose P(V) 0.36,P (W) = 0.22,P

(V) and= (W) = 0.1. (a) Find the probability that the computer contains either a virus or a worm or both. (b) Find the probability that the computer does not contain a worm.

(3) The Bureau of Labor Statistics reported that64.8 million women and 74.4 million men were employed. Of the women 25.4 million had management jobs, and of the men 24.9million had management jobs. An employed person is chosen at random. Write your answer as a fraction or a decimal, rounded to four decimal places.(a) What is the probability that the person is a male?

(b) What is the probability that the person has a management job?

(c) What is the probability that the person is male and has a management job?

(d) Given that the person is male, what is the probability that he has a management job?

(e) Given that the person has a management job, what is the probability that the person is male?