Write “theoretical” or “experimental” to describe the probabilities for each of the following situations.

1. The chance of getting tails when flipping a coin is $\frac { 1 } { 2 }$.

   Hint (a):

   Remember that theoretical probabilities are calculated mathematically based on what is expected while experimental probabilities are based on data collected in experiments.

   More Help (a):

   Answer (a):

   Theoretical

2. I flipped a coin eight times and got heads six times, so the probability is $\frac { 6 } { 8 }$.

   Hint (b):

   Is this probability based on data from an actual test of flipping a coin?

   Answer (b):

   Experimental

3. My mom packed my lunch three of the past five days, so the probability of my mom packing my lunch is $\frac { 3 } { 5 }$.

   Hint (c):

   Ask yourself the same questions as you did in parts (a) and (b).

4. The chance of winning the state lottery is $1$ in $98{,}000{,}000$.

   Hint (d):

   Did someone actually test the probability of winning the lottery?

5. Based on mathematical models, the chance of rain today is $60\%$.

   Hint (e):

   One way to calculate probability without physically testing it is to use a mathematical model

6. Lena got three “hits” in her last seven times at bats, so her chance of getting a hit is $\frac { 3 } { 7 }$.

   Hint (f):

   How did Lena determine the probability that she would get a hit at her next bat?