Due to a packaging error, 4 cans labeled diet soda were accidentally filled with regular soda and placed in a 12 pack carton of diet soda. two cans were randomly selected from this 12 pack. what is the probability that both cans were regular soda?

Probability that both cans were regular soda =  

Step-by-step explanation:

Probability =

We are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.

Probability that first can is a regular soda:

Outcome that first can is a regular soda will give us the number of regular soda available which are 4

Using formula of probability

Total possible outcomes are, n(total) = 12

Desired outcome: 4 (cans of regular soda)

P(1st can) =   =

Probability that 2nd can is a regular soda:

As we have already taken a can of regular soda from the pack, the total soda in the pack now 11 and the regular soda left are 3.

Total possible outcomes are, n(total) = 11

Desired outcome: 3 (cans of regular soda as one has already been taken)

P(2nd can) =  

Probability that both cans are regular soda:

P(both) = P(1st can) × P(2nd can)

             =

             =

1/11

Step-by-step explanation:

We know that 4 cans filled with regular soda were labelled diet soda and placed in a 12 pack carton.

Two cans were picked randomly and we are to find the probability that both cans were of regular soda.

No. of cans with regular soda = 4

No. of cans with diet soda = 8

P (both cans regular soda) = 4/12 * 3/11 = 1/11