Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Suppose A and B are dependent events. If P(A|B)=0.25 and P(B)=0.8 , what is P(AuB) ?

Sagot :

[tex]P(A|B)= \frac{\big{P(A\ \cap\ B)}}{\big{P(B)}}\ \ \ \Rightarrow\ \ \ P(A\ \cap\ B)=P(A|B)\cdot P(B)\\\\ \ \ \ P(A\ \cup\ B)=P(A)+P(B)-P(A\ \cap\ B)\\\\P(A\ \cup\ B)=P(A)+0.8-0.25\cdot0.8=P(A)+0.8-0.2=\\\\=P(A)+0.6[/tex]

Answer:

The Answer is 0.2 hope this helps.

Step-by-step explanation:

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.