Select Independent or Not independent for each pair of events.

Rolling a 1 on a number cube and then rolling a 6 on the same number cube

Flipping heads on a coin flip and then spinning an odd number on a spinner

Selecting a quarter from a bag of coins, putting it in a parking meter, and then selecting a dime from the same bag

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Mathematics

8 October, 00:03

Select Independent or Not independent for each pair of events.

Rolling a 1 on a number cube and then rolling a 6 on the same number cube

Flipping heads on a coin flip and then spinning an odd number on a spinner

Selecting a quarter from a bag of coins, putting it in a parking meter, and then selecting a dime from the same bag

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Truffles · Answer 1

The first pair of events are independent, the second pair of events are independent and the third pair of events are dependent.

Step-by-step explanation:

Independent events are events that do NOT rely on previous events. So, the chances of each of event happening in a pair of events is independent, or has no effect, on the chances of the other event. In the case of rolling a number cube and then rolling it again, your chances would be the same each time you roll the number cube as to what number you would get. Just because you rolled a '1' on the first roll, doesn't mean you can't get the same number (or another number) on another roll. The same reasoning applies to the coin flip and the spinner. These two events are not related and in no way would rely on each other. A coin flip will not affect the chances of spinning an odd number. However, if we have several coins in a bag and select a quarter, but do not replace it, our chances of selecting another coin changes because there are not only less coins in the bag, but there are less quarters to choose from. In the case of events with NO replacement, these events are dependent.