Asked by Lauren Oliveira on May 30, 2024
Verified
If P(A) = 0.3, P(A 
B) = 0.7, and P(A 
B) = 0.2, then P(B) = 0.2.
Conditional Probability
The probability of one event occurring with some relationship to one or more other events.
- Discern between the characteristics and probabilities of mutually exclusive events and independent events.
Verified Answer
KS
Kevin SanabriaJun 03, 2024
Final Answer :
False
Explanation :
We can use the formula P(AUB) = P(A) + P(B) - P(A B) to solve for P(B). Rearranging the formula, we get P(B) = (P(A)+P(B)-P(A 11eb6b9e_066e_03a2_8d9d_37a9cb017b1d_TB8220_11 B))/2 = (0.3 + P(B) - 0.7)/2 = (P(B)-0.4)/2. Solving for P(B), we get P(B) = 0.4, not 0.2. Therefore, the statement is false.
B) to solve for P(B). Rearranging the formula, we get P(B) = (P(A)+P(B)-P(A 11eb6b9e_066e_03a2_8d9d_37a9cb017b1d_TB8220_11 B))/2 = (0.3 + P(B) - 0.7)/2 = (P(B)-0.4)/2. Solving for P(B), we get P(B) = 0.4, not 0.2. Therefore, the statement is false.
Learning Objectives
- Discern between the characteristics and probabilities of mutually exclusive events and independent events.