To determine the ratio of heads outcomes to tails outcomes from Roger's coin flipping experiment, we first need to calculate the number of heads obtained.
Roger flipped the coin a total of 32 times and got tails 8 times. Therefore, the number of heads can be calculated as follows:
\[ \text{Number of heads} = \text{Total flips} - \text{Number of tails} = 32 - 8 = 24 \]
Now we have:
- Number of heads = 24
- Number of tails = 8
Next, we can express the ratio of heads to tails:
\[ \text{Ratio of heads to tails} = \frac{\text{Number of heads}}{\text{Number of tails}} = \frac{24}{8} \]
To simplify this ratio, we divide both the numerator and the denominator by their greatest common divisor, which is 8:
\[ \frac{24 \div 8}{8 \div 8} = \frac{3}{1} \]
Thus, the ratio of heads to tails in simplified form is:
\[ \boxed{3 \text{ to } 1} \]