Question

days 7 - 8 independent probability continued your turn 25. select all scenarios that represent dependent situations. 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 8 cards. the card is not replaced, and a second card is drawn. 26. 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.

Explanation:

Step1: Recall dependent - probability concept

Dependent probability occurs when the outcome of the first event affects the outcome of the second event.

Step2: Analyze each scenario

• Scenario 1: Drink from cooler

Picking a drink, returning it, then selecting another is independent as the first - pick does not change the total number of drinks for the second pick.

• Scenario 2: Candy from jar

Selecting a piece of candy, eating it, and then selecting another is dependent because the number of candies in the jar changes after the first selection.

• Scenario 3: Coin and dice

Flipping a coin and rolling a six - sided die are independent events since the result of the coin flip has no impact on the die roll.

• Scenario 4: Spinner and coin

Spinning a spinner and tossing a coin are independent as the result of the spinner spin does not affect the coin toss.

• Scenario 5: Marble from bag

Choosing a marble from a bag, keeping it, and then selecting another is dependent because the total number of marbles changes after the first pick.

• Scenario 6: Card from deck

Drawing a card from a deck, not replacing it, and then drawing a second card is dependent as the number of cards in the deck is reduced after the first draw.

Answer:

1. Select a piece of candy, eat it, and select another one.
2. Choose a marble from a bag that contains 6 blue marbles and 7 red marbles, keep it, then select another.
3. A card is drawn from a deck of 8 cards. The card is not replaced, and a second card is drawn.