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1-59.

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

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

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

Did someone do an experiment to make this conclusion? If not, then this probability is theoretical.

Theoretical

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

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

Experimental

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

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.

Did someone actually test the probability of winning the lottery?

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

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 $\frac { 3 } { 7 }$.

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