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Probability
NCERT Class 12
CBSE
Grade 12
Question:
Bag I contains 4 red and 5 black balls, and Bag II contains 3 red and 4 black balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. Find the probability that the ball drawn is red.
Step-by-Step Solution
Case 1 (Transferred Red): $(4/9) \times (4/8) = 16/72$. [1.0 Mark] Case 2 (Transferred Black): $(5/9) \times (3/8) = 15/72$. [1.0 Mark] Total probability $= 16/72 + 15/72 = 31/72$. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Evaluating probability for Case 1: 1.0 Mark Evaluating probability for Case 2: 1.0 Mark Summing total probability $= 31/72$: 1.0 Mark
Correct Answer:
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