Answer:
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:
<em>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.</em>
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)
=
=