A city's transportation system has 100 buses. 40 buses have Wi-Fi, 30 buses are electric, and 15 buses are both Wi-Fi - enabled and electric. What is the probability that a randomly chosen bus has Wi-Fi or is electric?
Options
A
0.45
B
0.55
C
0.65
D
0.75
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question involves calculating the probability of non - mutually exclusive events in the context of a city's transportation system.
The main focus is on using the number of buses in each category to find the individual probabilities and the probability of their intersection, then applying the formula for non - mutually exclusive events.
Key Concept Explanation
For non - mutually exclusive events A (a bus having Wi - Fi) and B (a bus being electric), the formula is used.
This formula accounts for the buses that are counted in both the Wi - Fi - enabled and electric categories to avoid double - counting.
Step-by-Step Solution
The probability that a bus has Wi - Fi, .
The probability that a bus is electric, .
The probability that a bus is both Wi - Fi - enabled and electric,
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