The probability of an event is related to the number of favorable combinations and the total number of combinations. A bag contains 7 red balls and 5 blue balls. If 4 balls are drawn at random, what is the probability that exactly 2 of them are red?
Options
A
B
C
D
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question combines the concept of combinations with probability.
The main focus is on using the combination formula to calculate the number of favorable combinations (drawing exactly 2 red balls) and the total number of combinations (drawing 4 balls from all the balls), and then using the probability formula .
Key Concept Explanation
The combination formula is used to find the number of ways to select a certain number of items from a set.
The probability formula for an event is , where the number of outcomes is calculated using combinations.
Step - by - Step Solution
Total number of balls
Total number of ways to draw 4 balls out of 12:
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