Help me with this math multiple choice question
2 answers:
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Answer:
a) 0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.
b) 0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons
Step-by-step explanation:
We use Venn's Equations for probabilities.
I am going to say that:
P(A) is the probability that a randomly selected person will feel guilty about wasting food.
P(B) is the probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
0.12 probability that a randomly selected person will feel guilty for both of these reasons.
This means that
0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
This means that
0.39 probability that a randomly selected person will feel guilty about wasting food
This means that
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons