Question

Please help! Correct answer only!

Chef Cline's fridge is filled with 10 milk cartons, 5 of which contain lactaid milk. Before she begins to bake, she examines the cartons' expiration dates.
If Chef Cline checks the expiration dates on 4 randomly selected cartons, what is the probability that exactly 2 of the chosen milk cartons contain lactaid milk?
Write your answer as a decimal rounded to four decimal places.

Answer 1

Probability ≈ 0.4762

Explanation:

See explanation below;

`Total Number of Outcomes - 10C4,\\10 ! / 4! * ( 10 - 4 ),\\10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1 * 6 * 5 * 4 * 3 * 2 * 1,\\\\Total Outcomes = 210,\\\\Number of Outcomes - 5C2 * 5C2,\\5C2 = 5 * 4 * 3 * 2 * 1 / 2 * 1 * ( 3 * 2 * 1 ),\\\\Number of Outcomes - ( 10 )^2 = 100,\\\\Conclusion; Probability = 100 / 210 = 0.4762`

Solution; Probability ≈ 0.4762