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26. how could you change this question, so it represents dependent prob…

Question

  1. how could you change this question, so it represents dependent probability? a cooler contains bottles of sports drinks. you pick one, return the bottle, then select another one. choose a canned drink, replace it and choose another drink. a jar contains candy; you select a piece, eat it and select another one. you flip a coin and roll a six - sided dice. spinning a spinner and tossing a coin. choose a marble from a bag that contains 6 blue marbles and 7 red marbles, keep it, then select another. a card is drawn from a deck of 52 cards. the card is not replaced, and a second card is drawn.

Explanation:

Step1: Understand dependent probability

Dependent probability means the outcome of the second - event depends on the first event. In the original problem of picking sports drinks with replacement, the probability of the second pick is not affected by the first pick (independent). To make it dependent, we need to change it to non - replacement.

Step2: Analyze the given scenarios

  • For the candy example, eating the first piece changes the total number of candies for the second pick, making it dependent.
  • For the card - drawing example, not replacing the first - drawn card changes the number of cards for the second draw, making it dependent.
  • For the marble example, keeping the first marble changes the number of marbles for the second selection, making it dependent.

To change the original question about sports drinks to represent dependent probability, we can change the action from "return the bottle" to "do not return the bottle". Then the probability of the second selection will depend on the first selection.

Answer:

Change "return the bottle" to "do not return the bottle" when selecting sports drinks.