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Which describes independent events?

a. you grab two jelly beans from a jar at the same time

b. you draw a card from a deck, replace it, and draw a second

c. you draw a card and do not replace it. Then yo draw another

d. you study english every night and then you get an A on the next test

i think it is C.

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  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. B. Not replacing the card changes the probability of drawing a second.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. It is not C.It is B you draw a card from a deck, replace it, and draw a second.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. It is C. The card is removed, but it is replaced, leaving the chances of drawing any card the same, as it is random

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  4. Answer
    B - By returning the card you have an equal change of drawing the cards as you did when your started. Making the two events independent

    Explanation

    For C - the card you took out changes the next draw, you are now not able to draw that card on the second turn, thus making the second draw dependent on what card was pulled out on the first draw

    For D - it implies that it is dependent, it implies that your studying gave a result to your test

    For A - It is a little more complicated, but what you draw is dependent on the fact that you are drawing two at once. "let me explain" - Say you have a Red, Green, and a Blue jellybean. By drawing two at once, it prevents you from drawing two of the same color, thus removing an option ( drawing a RR, GG, or BB). You can not draw two RED jelly beans, nor two any of the same color, because you are taking 2 at once. This is true for any number, and color of jellybeans. (though you now can draw 2 of the same color, the fact that your drawing 2 effect probability of what your are drawing)

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

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