Looking at the Additional Notes section of Lesson 6, as well as the Teacher Examples in Lesson 7, correctly match the correct operations used to calculate probability in the given situations.(3 points)

Question

+ (add) - (subtract) * (multiply) ÷ (divide)
Calculate the probability of an independent event, using "and " or "then".

Calculate the probability of a dependent event, using "and " or "then".

Calculate the probability of a compound event, using "or".

Answer 1

Here is how to match the operations used to calculate probability in each of the given situations:

1. Calculate the probability of an independent event, using "and" or "then":
   Operation: * (multiply)
   Explanation: For independent events, the probability of both events occurring is found by multiplying their individual probabilities.

2. Calculate the probability of a dependent event, using "and" or "then":
   Operation: * (multiply)
   Explanation: For dependent events, the probability of both events occurring is found by multiplying the probability of the first event by the conditional probability of the second event occurring given that the first has occurred.

3. Calculate the probability of a compound event, using "or":
   Operation: + (add)
   Explanation: For compound events, when calculating the probability of either event occurring, you add their individual probabilities. If the events are mutually exclusive, this is done directly; if not, you would need to adjust for any overlap.

So in summary:

1. Independent event (and): * (multiply)
2. Dependent event (and): * (multiply)
3. Compound event (or): + (add)