Events and Independence

Identify whether events A and B are independent based on the following statements. P(A) = 0.5 P(B) = 0.45 P(AandB) = 0.225

• Yes, because P(A) = P(AandB)

• Yes, because P(A) * P(B) = P(AandB)

• No, because P(A) ≠ P(AandB)

• No, because P(A) * P(B) ≠ P(AandB)

• No, because P(A) ≠ P(A|B)

Identify whether events A and B are independent based on the following statements. P(A) = 0.2 P(B) = 0.4 P(AandB) = 0.2

• Yes, because P(A) = P(AandB)

• Yes, because P(A) * P(B) = P(AandB)

• No, because P(A) ≠ P(AandB)

• No, because P(A) * P(B) ≠ P(AandB)

• No, because P(A) ≠ P(A|B)

Identify which of the following formulas are ONLY TRUE if events A and B are independent. Select all that apply

Being a millionaire and being double jointed are independent events. P(being a millionaire) = 0.08 and P(being double jointed) = 0.30. What is the P(being a millionaire AND being double jointed)? Round to 3 decimal places

Determine if the events are independent or dependent.

• Independent

• Dependent

Determine if the events are independent or dependent.

• Independent

• Dependent

If event A and event B are independent, then which of the following is true?

• P(A) = P(B)

• P(A | B) = P(B)

• P(A | B) = P(A)

• P(A and B) = P(A) + P(B)

If two events A and B are INDEPENDENT....

• the result of A happening DOES NOT change the probability of B occuring

• A and B have the same chance of happening

• If A happens, B will also happen

• the result of A happening will change the probability of B occuring

Suppose a person is chosen at random from all of the people in the US.

Which of the following pairs of Events in the resulting sample space are most likely to be independent in relation to each other?

• Being over 6 ft. tall and playing basketball

• Being a Canadian immigrant and playing hockey

• Having blue eyes and playing soccer

• Being male and playing football

Events A and B are independent. P(A) = 0.77 P(B) = 0.81. What is the P(AandB)? Round to 2 decimal places.