Here are the answers to the worksheet problems.
1. Independent
*Reasoning:* Flipping a coin and spinning a spinner are two separate actions. The result of the coin flip does not change the numbers or colors on the spinner.
2. Dependent
*Reasoning:* The problem says "without replacing" the first ticket. This means after Kim picks the first number, there is one less ticket in the hat for the second pick. The total number of options changes.
3. Independent
*Reasoning:* Hope puts the card back ("replacing the first"). Because she puts it back, the deck is exactly the same for the second draw as it was for the first.
4. Independent
*Reasoning:* Spinning a coin and drawing a card do not affect each other. One happens with money, the other with cards.
5. Dependent
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Parent Tip: Review the logic above to help your child master the concept of independent events worksheet.