A tech store has 80 smartphones in stock. 35 smartphones have a high - resolution camera, 40 smartphones have a large battery capacity, and 12 smartphones have both features. What is the probability that a randomly selected smartphone has a high - resolution camera or a large battery capacity?
Options
A
0.4375
B
0.525
C
0.7875
D
0.9125
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question involves calculating the probability of non - mutually exclusive events within the context of smartphone features in a tech store.
The main focus is on determining the individual probabilities of each feature and the probability of their intersection, then applying the formula for non - mutually exclusive events.
Key Concept Explanation
For non - mutually exclusive events A (smartphone has a high - resolution camera) and B (smartphone has a large battery capacity), the formula is used.
This formula ensures that smartphones with both features are not double - counted when calculating the probability of having either feature.
Step-by-Step Solution
The probability that a smartphone has a high - resolution camera, .
The probability that a smartphone has a large battery capacity, .
The probability that a smartphone has both features,
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