Final answer:
When a quarter is tossed 3 times, there are 8 different orders, and when it is tossed 4 times, there are 16 different orders.
Step-by-step explanation:
3. A quarter is tossed 3 times:
When a quarter is tossed, it can either show heads or tails. In this case, we want to find the number of different orders in which heads and tails can be tossed when the quarter is tossed 3 times.
Since there are 2 possible outcomes (heads or tails) for each toss, the total number of different orders is calculated as 2 multiplied by itself 3 times (2 x 2 x 2), which equals 8. Therefore, there are 8 different orders in which the quarter can be tossed when tossed 3 times.
4. A quarter is tossed 4 times:
In a similar way, when a quarter is tossed 4 times, there are 2 possible outcomes for each toss. Using the same logic as before, we find that the total number of different orders is 2 multiplied by itself 4 times (2 x 2 x 2 x 2), which equals 16. Therefore, there are 16 different orders in which the quarter can be tossed when tossed 4 times.
Learn more about Quarter Tossing