Step 1: Identifying the production values.
Let the production of Ludo in 1992 be \( P_{1992} \) and in 1994 be \( P_{1994} \).
Step 2: Percentage decrease formula.
\[ {Percentage Decrease} = \frac{P_{1992} - P_{1994}}{P_{1992}} \times 100 \]
Step 3: Substituting values and calculating.
Using the given values, we get: \[ {Percentage Decrease} = \frac{X - Y}{X} \times 100 \] Computing the values, we find that the drop is 10%. Thus, the correct answer is (D) \( 10 \).
If \(S=\{1,2,....,50\}\), two numbers \(\alpha\) and \(\beta\) are selected at random find the probability that product is divisible by 3 :
If the probability distribution is given by:
| X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|---|
| P(x) | 0 | k | 2k | 2k | 3k | k² | 2k² | 7k² + k |
Then find: \( P(3 < x \leq 6) \)