A box contains colored balls, and the frequency table below shows the distribution.
If a ball is drawn randomly, replaced, and then another ball is drawn, what is the probability that the first ball is red and the second ball is blue?
Options
A
B
C
D
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question involves calculating the probability of two events occurring in sequence using a frequency table.
The main focus is on recognizing that since the ball is replaced after the first draw, these are independent events, and applying the multiplication rule for independent events to find the combined probability.
Key Concept Explanation
Independent events are those where the outcome of one event does not affect the outcome of the other.
For two independent events and , the probability of both and occurring is given by .
The probability of an individual event is calculated as .
Step-by-Step Solution
First, find the total number of balls:
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