Question

the city council conducts a survey of the city's residents to determine which services are most ised by the community. 60% of the residents say they use the library, and 35% of the residents say they use the library and the recylcing center. what is the probability that a resident uses the recycling center given that they use the library

Answer 1

Sol:

Recycling=R

library-L

P(L)=60%=0.60

P(R and L)=0.35

P(RL) tto be found

P(R/L) is condistional prob given by

P(R/L)=P(Rand L)/P(L)

=0.35/0.60

=0.5833333

ANSWER:

the probability that a resident uses the recycling center given that they use the library

=0.5833333