Question

Determine whether this situation represents independent or dependent events. "Three green jelly bean, five red jelly beans and two orange jelly bean are in a bag. What is the probability of selecting an orange jelly bean, putting it back, and then selecting a green jelly bean?" Question 1 options: Independent Events Dependent Events

Answer 1

Answer:

Independent Events

Step-by-step explanation:

Given

$Green = 3\\ Orange = 2\\ Red = 5$

Required

Dependent or independent event

The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.

Before selecting the orange jelly:

$P(Green) = \frac{Green}{Total}$

$P(Green) = \frac{3}{10}$

After selecting the orange jelly:

$P(Green) = \frac{Green}{Total}$

$P(Green) = \frac{3}{10}$

Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.