Person A speaks the truth 88% of the time. The probability of person B speaking the truth on an occasion that person A also speaks the truth is 43%. What is the probability that person A speaks the truth, but person B lies?

Question

anonymous · Answer

my guess is $.88\times .57$ but i could be wrong

anonymous · Answer

we can try it with numbers
lets say we do it 10,000  times
then person A speaks the truth 8800 times and of those 8800 43% of the time person B also speaks the truth so 3784 times 
the rest of them or 5016 times person A speaks the truth and person B lies

anonymous · Answer

so the probability is $\frac{5016}{10000}=.5016$ now lets try 
$$.88\times .57=.5016$$ yup seems to work

anonymous · Answer

yup i got that

anonymous · Answer

thank you you were a big help

anonymous · Answer

yw