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9-2: MathXL for School: Practice & Problem Solving KT EDIT

Assignment is past due
9.2.10
Question Help
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement
"And" probabilities can always be determined using the formula P(A and B)=P(A)- P(B).
Choose the correct answer below.
O A. This statement is false, "And" probabilities can only be determined using the formula P(A and B)=P(A). P(BIA).
O B. This statement is false. "And probabilities can be determined using the formula P(A and B) = P(A). P(B) only if A and B are independent. Otherwise, they
can be found using the formula P(A and B)=P(A). P(BIA).
O C. This statement is true.
O D. This statement is false, "And" probabilities can always be determined using the formula P(A and B) = P(A) + P(B).

2 Answers

3 votes

Final answer:

The statement is false; the formula to determine "And" probabilities varies depending on whether events are independent or dependent.

Step-by-step explanation:

The statement "And" probabilities can always be determined using the formula P(A and B) = P(A) - P(B) is false. The correct method to determine the probability of two events A and B occurring together, also known as the conjunction, depends on whether the events are independent or dependent. If A and B are independent, the formula is P(A and B) = P(A) × P(B). However, if A and B are dependent, you must use the formula P(A and B) = P(A) × P(B|A), where P(B|A) represents the conditional probability of B given that A has already occurred.

User Notadam
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4.5k points
2 votes

Answer:the way you put this answer is not readable sorry.

Step-by-step explanation:

User Alexandru Cancescu
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5.0k points