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Question: Answered & Verified by Expert
A box contains \( 6 \) red marbles numbers from \( 1 \) through \( 6 \) and \( 4 \) white marbles \( 12 \) through \( 15 . \)
Find the probability that a marble drawn 'at random' is white and odd numbered.
MathematicsDeterminantsKCETKCET 2015
Options:
  • A \( \frac{1}{7} \)
  • B \( \frac{1}{5} \)
  • C \( \frac{1}{9} \)
  • D \( \frac{1}{6} \)
Solution:
1271 Upvotes Verified Answer
The correct answer is: \( \frac{1}{5} \)
Number of red marbles are $6(1$ to 6$)$, number of white marbles are $4(12$ to 15$)$. So,
R1, R2, R3, R4, R5, R6, W12, W13, W14, W15
Total number of marbles are 10.
We have, white + odd = W13, W15
So, required probability is
$\frac{2}{10}=\frac{1}{5}$

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