1.Let the sample space be

S={1,2,3,4,5,6,7,8,9,10}.

Suppose the outcomes are equally likely. Compute the probability of the event

E="an

odd

number less than

10."

P(E)=

(Type an integer or a decimal. Do not round.)

2. Due to a manufacturing error,two cans of regular soda were accidentally filled with diet soda and placed into a

24-pack.Suppose that two cans are randomly selected from the 24-pack.

Complete parts (a) through (c).

(a) Determine the probability that both contain diet soda.

P(both

diet)=

(Round to four decimal places as needed.)

(b) Determine the probability that both contain regular soda.

P(both

regular)=

(Round to four decimal places as needed.)

Would this be unusual?

a)Yes

b)No

(c) Determine the probability that exactly one is diet and exactly one is regular.

P(one diet and one

regular)=

(Round to four decimal places as needed.)