A bag contains 4 red polygons (2 triangles, 2 squares) and 5 blue polygons (3 triangles, 2 squares). If one polygon is drawn and not replaced, then a second is drawn. Given the first was a blue triangle, what is the probability the second is a red square?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis
This tests conditional probability with dependent events (no replacement) and geometric shapes.
The main focus is updating counts after the first draw.
Key Concept Explanation
Conditional probability is the probability of an event occurring given that another event has already occurred.
After removing 1 blue triangle, the bag has:
Red polygons: 4 (2 triangles, 2 squares).
Blue polygons: 4 (2 triangles, 2 squares).
Total remaining polygons: 8.
Step-by-Step Solution
1. Initial counts: 4 red (2 squares) and 5 blue (3 triangles, 2 squares).
2. After drawing 1 blue triangle:
Blue triangles left: 2.
Total polygons left: 8.
3.Probability of red square:
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