Answer:
The probability that the person cares strongly about environmental issues but does not vote regularly is P=0.33.
Step-by-step explanation:
We have:
Probability that the voter cares for the environment P(E)=0.63
Probability that the voter votes regularly P(R)=0.51
Probability that the voter votes regularly and cares for the environment P(R,E)=0.30
We have to calculate the probability that the voter cares for the environment but does not vote regularly P(not R, E).
We know that the probability that the voter cares for the environment is 0.63, and is divided between the ones that vote regularly and the ones that don't:
P(E)=P(R,E)+P(not R,E)=0.63
We also know that the probability that the voter votes regularly and cares for the environment is P(R,E)=0.30. Then:
P(E)=0.30+P(not R,E)=0.63
P(not R,E)=0.63-0.30=0.33
The probability that the person cares strongly about environmental issues but does not vote regularly is P=0.33.
