Compound and Conditional Probability

For the situation, give the correct probability notation.

The probability that a damage claim is filed and it is for fire and lightning is represented as ______

• P (D ∩ F)

• P (D ∪ F)

• P (D | F)

• P (F | D)

• P (H ∩ F)

Use the Venn diagram shown for the scenario of the related events of having an accident and being covered by auto insurance. The probability you are not covered by insurance given you have an accident, as a decimal. P (C'|A) =

Use the Venn diagram shown for the scenario of the related events of having an accident and being covered by auto insurance. The probability you have an accident and you are not covered by insurance, as a decimal P (A ∩ C’) =

Match each diagram choice below with the probability notation that represents the same expression.

Use the Venn diagram shown for the scenario of the related events of having an accident and being covered by auto insurance.

• P (A | C)

• 
• P (A ∩ C’)

• 
• P (C | A)

• 
• P (C’ | A)

• 

Match each table calculation choice below with the probability notation that represents the same expression.

Use the Venn diagram shown for the scenario of the related events of having an accident and being covered by auto insurance.

• P (A | C) ≈ 34.5%

• 
• P (A ∩ C’) = 1%

• 
• P (C | A) = 75%

• 
• P (C’ | A) = 25%

• 

Match each table with the indicated numbers needed to calculate each probability below with its probability notation and calculation setup that represents the same expression.

Use the Venn diagram shown for the scenario of the related events of having an accident and being covered by auto insurance.

• P (A ∩ C’) = 0.01

• 
• 
• 
• 

Match each Venn diagram and table below with their probability notation and probability expressed as a simplified ratio that represents each situation.

Use the Venn diagram shown for the scenario of the related events of having an accident and being covered by auto insurance.

• 
• 
• 
• 

For the following situation, give the correct probability notation using the table shown. The probability that a damage claim is filed and it is for fire and lightning is represented as ______

• P (D ∩ F)

• P (D ∪ F)

• P (D | F)

• P (F | D)

• P (D ∩ H)

For the following situation, give the correct probability notation using the table shown.

If one of the property damage claims is chosen, what is the probability it is for Wind and Hail?

The probability notation is represented as ______

Use the table shown and probability notations to calculate the probability that a damage claim is filed and it is for wind and hail. P (H ∩ D) =

Mathematical Equivalence

ON