Mathematics · 2024
JEE Main · 8 April 2024, Shift 2 · Q19
There are three bags X, Y and Z. Bag X contains 5 one-rupee coins and 4 five-rupee coins; Bag Y contains 4 one-rupee coins and 5 five-rupee coins and…
There are three bags $\displaystyle X, Y$ and $\displaystyle Z$. Bag $\displaystyle X$ contains $\displaystyle 5$ one-rupee coins and $\displaystyle 4$ five-rupee coins; Bag Y contains $\displaystyle 4$ one-rupee coins and $\displaystyle 5$ five-rupee coins and Bag Z contains $\displaystyle 3$ one-rupee coins and $\displaystyle 6$ five-rupee coins. A bag is selected at random and a coin drawn from it at random is found to be a one-rupee coin. Then the probability, that it came from bag Y, is :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \frac{1}{3}$
More from Probability
- Bag B_1 contains 6 white and 4 blue balls, Bag B_2 contains 4 white and 6 blue balls, and Bag B_3 contains 5 white and 5 blue balls. One of the bags…2025
- Bag A contains 9 white and 8 black balls, while bag B contains 6 white and 4 black balls. One ball is randomly picked up from the bag B and mixed up…2026
- A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation for the entire…2026
- One die has two faces marked 1, two faces marked 2, one face marked 3 and one face marked 4. Another die has one face marked 1, two faces marked 2,…2025
- An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability, that the first draw gives…2024
- A card from a pack of 52 cards is lost. From the remaining 51 cards, n cards are drawn and are found to be spades. If the probability of the lost…2025
- The coefficients a, b, c in the quadratic equation a x^2+b x+c=0 are from the set \{1, 2, 3, 4, 5, 6\}. If the probability of this equation having…2024
- Let the mean and variance of 7 observations 2, 4, 10, x, 12, 14, y, x>y, be 8 and 16 respectively. Two numbers are chosen from {1,2,3, x-4, y, 5} one…2026
JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.