A bag contains 12 socks: 5 are black, 4 are white, and 3 are gray. If a sock is picked at random, what is the probability that it is not gray?
Options
A
B
C
D
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question involves calculating probability using complementary events.
The main focus is on understanding how to find the probability of an event (not gray) by subtracting the probability of its complement (gray) from 1.
Key Concept Explanation
Probability Formula:
Complementary Events: For any event ,
Step-by-Step Solution
1. Total Outcomes: The bag has 12 socks, so the total number of possible outcomes is 12.
2. Favorable Outcomes for Gray Socks: There are 3 gray socks, so
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.