Two numbers and are chosen at random (with out replacement) from the set \( \{1,2,3, \ldots, 5 n...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=jkCqOi2HmIA



Duration: 11:29
9 views
0


Two numbers and are chosen at random (with out replacement) from the set \( \{1,2,3, \ldots, 5 n\} \) the probability that \( n_{1}^{4}-n_{2}^{4} \) is divisible by 5 , is equal to
(a) \( \frac{n-1}{5 n-1} \)
(b) \( \frac{4(4 n-1)}{5(5 n-1)} \)
(c) \( \frac{17 n-5}{5(5 n-1)} \)
(d) \( \frac{8 n}{5(5 n-1)} \)
πŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-09Consider three vectors \( \vec{v}_{1}=\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k}, \quad \vec{v}...
2023-06-09Comprehension- There are \( \mathrm{n} \) students in a class and the probability that exactly \...
2023-06-09A hotel packed breakfast for each of the three guests. Each breakfast should have consisted of t...
2023-06-09Consider 4 functions \[ \begin{array}{l} f(x)\left\{\begin{array}{cc} x^{2} \sin \frac{1}{x}, & ...
2023-06-09Comprehension - There are four boxes \( B_{1}, B_{2}, B_{3} \) and \( B_{4} \). Box \( B_{i} \) ...
2023-06-09Comprehension - There are four boxes \( B_{1}, B_{2}, B_{3} \) and \( B_{4} \). Box \( B_{i} \) ...
2023-06-09Let \( P(E) \) denote the probability of occurrence of event \( E \). If \( A \) and \( B \) are...
2023-06-09Comprehension- Consider the experiment of distribution of balls among urns. Suppose we are given...
2023-06-09Comprehension- \( \quad \) Consider the experiment of distribution of balls among urns. Suppose ...
2023-06-09Comprehension- Consider the experiment of distribution of balls among urns. Suppose we are given...
2023-06-09Two numbers and are chosen at random (with out replacement) from the set \( \{1,2,3, \ldots, 5 n...
2023-06-09Match the following Column-I with Column-II. \begin{tabular}{|l|l|c|c|} \hline \multicolumn{2}{|...
2023-06-09Kapil rolls four fair 6-sided dice. What is the probability that at least one of the numbers Kap...
2023-06-09Let \( 0P(A)1,0P(B)1 \& P(A \cup B)=P(A)+P(B) \) - \( P(A) \cdot P(B) \), then: (a) \( P(B / A)=...
2023-06-09Let a function \( f: X \rightarrow Y \) is defined where \( X=\{0,1,2,3, \ldots, 9\} \), \( Y=\{...
2023-06-09Two squares are chosen from the squares of a ordinary chess board. It is given that the selected...
2023-06-09Three ordinary and fair dice are rolled simultaneously. The probability of the sum of outcomes b...
2023-06-09Consider all functions that can be defined from the set \( A= \) \( \{1,2,3\} \) to the set \( B...
2023-06-09\( A \) and \( B \) are two events such that \( P(A)=\frac{1}{2}, P(B)=\frac{2}{3} \). Then whic...
2023-06-09A fair die is rolled four times. The probability that each of the final three rolls is at least ...
2023-06-09In a five-team fournament, each team plays one game with every other team. Each team has a \( 50...