Question

Please help! Correct answer only!

After touring a coffee bean farm, Mariana impulsively bought 9 bags of coffee beans. Of the bags she bought, 3 were filled with caramel flavored coffee beans.
If Mariana randomly selects 4 of the bags to send to family members in a certain order, what is the probability that just the first 2 of the chosen bags of coffee are caramel flavored?

Write your answer as a decimal rounded to four decimal places.

Answer 1

Probability ≈ 0.3571

Explanation:

Consider the steps below;

`Total Number of Outcomes - 9C4,\\9 ! / 4 ! * ( 9 - 4 ),\\9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1 * 5 * 4 * 3 * 2 * 1,\\\\Total Outcomes = 126,\\\\Number of Outcomes - 3C2 * ( 6C2 ),\\3C2 = 3,\\6C2 = 15,\\\\Number of Outcomes = 3 * 15 = 45,\\\\Probability; 45 / 126 = ( About ) 0.3571`

Solution; Probability ≈ 0.3571