Answer:
Second Option:
"green marble out of the same jar, without replacing the first marble"
Step-by-step explanation:
Two events r and s are independent if the probability that r occurs does not affect the probability that s occurs.
When choosing an object of some color b from a jar with n objects where there are x objects of the desired color b, the probability of obtaining 1 object of color b when randomly selecting an object from the jar is:
If after taking the object it does <em>not return</em> it to the jar (without replacement) then, now the probability of obtaining an object of color b is:
if the one selected in the first trial was the color b.
if the one selected in the first test was not the color b
Note that now the probability P <em>depends on the result obtained in the previous test.</em>
<em>This event is </em><em>dependent</em><em>.</em>
However, if by take object b in the first test, and the object is <em>returned</em> to the jar, and then the second test is made, then
.
The probability does <em>not depend on the result of the first trial</em>. The same happens if the objects are taken from <em>different jars</em>.
<em>These would be </em><em>independent</em><em> events.</em>
Finally the correct option is the second option.
