A bag contains 5 red candies and 3 green candies. If a red candy is taken out first (and not put back), what is the probability that the next candy taken out is green?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves conditional probability in the context of sampling without replacement.
The main focus is on adjusting the sample space and the number of favorable outcomes after the first event (taking out a red candy) to calculate the probability of the second event (taking out a green candy).
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
Analyze the situation after the first draw:
Initially, there are candies in the bag.
When a red candy is taken out first, the number of candies left in the bag is
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