Probability
Conditional Probability and Independence
Grade 12
Question:
<p>Two fair dice are rolled... sum is either a prime or a square. Given it's a square first, find prob it's an odd square.</p>
Step-by-Step Solution
Key Concept: Conditional prob: n(odd squares) / n(total squares). Squares are {4, 9}. Odd square is {9}.
<p>n(4)=3, n(9)=4. Total square cases = 7. Prob(odd square | square) = 4/7. 14p = 8.</p>
Correct Answer: 8