Posted by **Sharon** on Wednesday, October 7, 2009 at 11:11pm.

Suppose P(A)= .3, P(B)=.4, and the P(A + B) = .12. What is:

a.) P(A/B)?

b.) P(B/A)?

c.) are A and B independent? Explain your answer.

- probabilty -
**drwls**, Wednesday, October 7, 2009 at 11:39pm
P(A/B) is the probability of A when B also happens. It equals 0.12/0.4 = 0.3, which is also P(A)

P(B/A) is the probability of B if A also happens. It equals 0.12/0.3 = 0.4, which also equals P(B)

The probability of A does not depend upon what happened to B and vice versa.

They are therefore independent.

This also follows from

P(A+B) = P(A)*P(B)

## Answer this Question

## Related Questions

- probabilty - Suppose that when a job candidate comes to interview for a job at, ...
- Probabilty - The public transport system is aware that one person in twenty does...
- math - suppose that an experiment has four possible outcomes. a,b,c and d. if p(...
- Probability - The public transport system is aware that one person in twenty ...
- Statistics - One event A is _________________ of another event B if the ...
- Math ; please please help. - 1. Explain in detail how to determine the value of ...
- probability - explain the probabilty of one event in a fair game with three ...
- English - 1.(The hikers walked) until they were exhausted. 2.Has John met the ...
- Grammar-clauses - I put the underlined parts of the sentences in parentheses. ...
- Science - I'm suppose to make a graph but I'm confused on what would be the ...