marco has a bag of red, blue, and green tiles. which set of events would be considered independent? a tile…

marco has a bag of red, blue, and green tiles. which set of events would be considered independent? a tile is drawn and replaced, and then a second tile is drawn. a tile is drawn and removed, and then a second tile is drawn. a red or blue or green tile is drawn. two tiles are drawn at the same time.

marco has a bag of red, blue, and green tiles. which set of events would be considered independent? a tile is drawn and replaced, and then a second tile is drawn. a tile is drawn and removed, and then a second tile is drawn. a red or blue or green tile is drawn. two tiles are drawn at the same time.

Answer

Explanation:

Step1: Recall the definition of independent events

Independent events are events where the outcome of one event does not affect the outcome of the other event.

Step2: Analyze each option

  • Option 1: When a tile is drawn and replaced, the total number of tiles and the number of each - colored tile remain the same for the second draw. So, the probability of drawing a particular tile in the second draw is not affected by the first draw.
  • Option 2: When a tile is drawn and removed, the total number of tiles for the second draw changes. So, the probability of the second - draw event is affected by the first - draw event.
  • Option 3: Drawing a red or blue or green tile is a single - event description (a mutually - exclusive event within a single draw), not two independent events.
  • Option 4: When two tiles are drawn at the same time, the occurrence of one (in terms of color, etc.) affects the composition of the remaining "drawn" tiles (in a sense, since they are drawn simultaneously, the probability calculations are based on a combined draw rather than independent sequential draws).

Answer:

A tile is drawn and replaced, and then a second tile is drawn.