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lina2011 [118]
3 years ago
10

An example of dependent events is drawing a red marble out of one jar and then drawing a

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

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:

P_1 =\frac{x}{n}

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:

P_2 = \frac{x-1}{n-1}   if the one selected in the first trial was the color b.

P_2 = \frac{x}{n-1}   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

P_1 = P_2.

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.

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