A bag contains 3 red chips, 5 green chips, 2 yellow chips, 4 brown chips, and 6 purple chips. One chip is chosen at random, the color noted, and the chip returned to the bag.

a. Suppose two trials of this experiment are conducted. Are the events independent or dependent? Explain.

Respuesta :

Both can be seen as individual events. thus the events are independent.

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Given that; A bag contains 3 red chips, 5 green chips, 2 yellow chips, 4 brown chips, and 6 purple chips. One chip is chosen at random, the color noted, and the chip returned to the bag.

The probability of selecting the chip is green;

= 5/20

= 1/4

The probability of selecting the chip is brown;

= 4/20

= 1/5

the probability that the first chip is green and the second is brown

= 1/4 x 1/5

= 1/20

Both can be seen as individual events. thus the events are independent.

Learn more about probability here;

https://brainly.com/question/11234923

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