Final answer:
In total, there are 16 ways to get at least three heads when tossing a coin five times. This accounts for 10 ways to get exactly three heads, 5 ways for four heads, and 1 way for five heads.
Step-by-step explanation:
To determine how many ways you can get at least three heads when tossing a coin five times, we need to count all the combinations with three heads, four heads, and five heads.
The number of ways to get exactly three heads (which is also the number of ways to get exactly two tails) in five tosses is calculated using the combination formula, which is C(n, k) = n! / (k! * (n-k)!), where n is the total number of tosses and k is the number of desired outcomes (in this case, heads). For three heads, the calculation would be C(5, 3) which equals 10 ways.
Similarly, for four heads, it would be C(5, 4), which also results in 5 ways. For getting all five heads, there's only one way that can happen.
Therefore, to find the total number of ways to get at least three heads, we add the number of ways to get exactly three, four, and five heads, which would be 10 + 5 + 1 = 16 ways.