A bag contains 8 red balls and 12 blue balls. Two balls are drawn one after the other without replacement. What is the probability that the second ball is red given that the first ball was blue?
Options
A
8/19
B
12/19
C
2/5
D
3/5
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves the concept of conditional probability in the context of sampling without replacement.
The main focus is on understanding how the probability of an event (drawing a red ball second) is affected by a prior event (drawing a blue ball first).
Key Concept Explanation
Conditional probability is the probability of an event occurring given that another event has already occurred.
In the case of sequential events without replacement, after the first event occurs, the sample space for the second event changes.
Step-by-Step Solution
When the first ball drawn is blue, there are now a total of
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.