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

Question

18-08-2014
Mathematics

Answered

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

Answer :

Other Questions

Analyze how western expansion contributed to growing sectional tensions between the North and the South Confine your answer to the period from 1800 to 1850

how can i used properties to find the sum or product for 93687

Do the words height and freight have a long A sound

Which word in the sentence should be followed by a semicolon A large tree fell in the yard the electricity in the house is not working now A yard B electricity

What is two x one half

Tens of thousands of people were killed by as they demonstrated their desire for him to resign as president of their country

American astronauts made their first moon landing during which presidents term im inbetween A and D

Which opening line BEST sets an ominous tone for a short story Enjoying her daily walk on the lake trail Laura headed toward the funny tree that reminded her of

A particular frozen yogurt has 75 cal into ounces how many calories are in 8 ounces of the yogurt

kate200468 kate200468 · Answer 1 · 2014-08-18T17:09:58-04:00

kate200468 kate200468

18-08-2014

[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 Link

XrotXL XrotXL · Answer 2 · 2021-12-08T01:05:54-05:00

XrotXL XrotXL

08-12-2021

Answer:

The Answer is 0.2 hope this helps.

Step-by-step explanation:

Answer Link