To solve this problem, we need to apply the basic rule of probability regarding complementary events.
1. Understanding Complementary Events:
If \( P(x) \) is the probability of an event \( x \), then \( P(\text{not } x) \) is the probability of the event not happening.
The sum of the probabilities of an event and its complement is always 1:
\( P(x) + P(\text{not } x) = 1 \)
2. Applying the Rule:
We directly apply the above rule to this question:
\( P(x) + P(\text{not } x) = 1 \)
Final Answer:
The correct option is (C) 1.
A shop selling electronic items sells smartphones of only three reputed companies A, B, and C because chances of their manufacturing a defective smartphone are only 5%, 4%, and 2% respectively. In his inventory, he has 25% smartphones from company A, 35% smartphones from company B, and 40% smartphones from company C.
A person buys a smartphone from this shop
A shop selling electronic items sells smartphones of only three reputed companies A, B, and C because chances of their manufacturing a defective smartphone are only 5%, 4%, and 2% respectively. In his inventory, he has 25% smartphones from company A, 35% smartphones from company B, and 40% smartphones from company C.
A person buys a smartphone from this shop
(i) Find the probability that it was defective.