Because of a manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed into a 12-pack. Suppose that two cans are randomly selected from the 12-pack. (a) Determine the probability that both contain diet soda. (b) Determine the probability that both contain regular soda. Would this be unusual

1 /22

6/11

Step-by-step explanation:

Total number of soda = 12

Number of diet soda in pack = 3

Number of regular soda = 12 - 3 = 9

Suppose selection is done without replacement ;

Recall : probability = required outcome / Total possible outcomes

P(selecting diet soda on 1st pick) = number of diet soda / total Number of soda in pack = 3 / 12

Diet soda left = 3 - 1 = 2

Total sodas left in pack = 12 - 1 = 11

P(selecting diet soda on 2nd pick) = 2 /11

Probability(diet soda on both picks) =

3/12 * 2/11 = 6 / 132 = 1 / 22

B.)

P(selecting regular soda on 1st pick) = number of regular / total Number of soda in pack = 9 / 12

Diet soda left = 9 - 1 = 8

Total sodas left in pack = 12 - 1 = 11

P(selecting regular soda on 2nd pick) = 8 /11

Probability(regular soda on both picks) =

9/12 * 8/11 = 72 / 132 = 12 / 22 = 6/11

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.