Three distinct number \( a, b \) and \( c \) are chosen at random from the numbers \( 1,2, \ldot....

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=rNx3PZZUTEM



Duration: 11:52
4 views
0


Three distinct number \( a, b \) and \( c \) are chosen at random from the numbers \( 1,2, \ldots \ldots, 100 \). The probability that
P
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \( a, b, c \) are in A.P. is & (P) & \( \frac{53}{161700} \) \\
\hline (B) & \( a, b, c \) are in G.P. is & (Q) & \( \frac{1}{66} \) \\
\hline (C) & \( \frac{1}{a}, \frac{1}{b}, \frac{1}{c} \) are in G.P. is & (R) & \( \frac{1}{22} \) \\
\hline (D) & \begin{tabular}{l}
\( a+b+c \) is divisible by \\
2 is
\end{tabular} & (S) & \( \frac{1}{2} \) \\
\hline
\end{tabular}
(1) A-P; B-Q; C-R; D-S
(2) A-S; B-Q; C-R; D-P
(3) A-Q; B-P; C-P; D-S
(4) A-Q; B-R; C-S; D-P


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-23Two vertical poles of heights \( 20 \mathrm{~m} \) and \( 80 \mathrm{~m} \) stand apart on a hor....
2024-01-23The angle of elevation of the top of an unfinished tower at a point distant \( 120 \mathrm{~m} \....
2024-01-23A tower of height \( b \) subtends an angle at a point \( O \) on the ground level through the f....
2024-01-23\( A B \) is a vertical pole with \( B \) ground level and \( A \) at the top. A man finds that ....
2024-01-23Two poles standing on a horizontal ground are of heights \( 6 \mathrm{~m} \) and \( 12 \mathrm{~....
2024-01-23A vertical tower \( A B \) has its end \( A \) on the level ground. Let \( C \) be the midpoint ....
2024-01-23A ladder \( 5 \mathrm{~m} \) long leans against a vertical wall. The bottom of the ladder is \( ....
2024-01-23A flag - staff of 5 meters high stands on a building of 25 meters height. For an observer at a h....
2024-01-23The tops of two poles of height \( 20 \mathrm{~m} \) and \( 14 \mathrm{~m} \) are connected by a....
2024-01-23A tower subtends an angle of \( 60^{\circ} \) at a point on the same level as the foot of the to....
2024-01-23Three distinct number \( a, b \) and \( c \) are chosen at random from the numbers \( 1,2, \ldot....
2024-01-23An urn contain 3 red balls and \( n \) white balls. Mr. \( A \) draws two balls together from th....
2024-01-23The letters of the word MATHEMATICS are written in a row at random. Match the items of Column-I ....
2024-01-235 pairs of socks are in a cupboard of which 4 socks are drawn randomly. The probability that the....
2024-01-23A number from the set \( \{1,2,3, \ldots, 15\} \) is selected at random. The probability that it....
2024-01-23The odds against an event \( A \) is \( 2: 3 \) and odds in favour of another event \( B \) is \....
2024-01-23In a class, there are 10 boys and 5 girls. Three students are selected one after other without a....
2024-01-23Match the items of column-I with those of column-II. \begin{tabular}{|c|c|c|c|} \hline \multicol....
2024-01-23Match the proposed probability under Column-I with the appropriate written description under Col....
2024-01-23Paragraph Suppose \( E_{1}, E_{2} \) and \( E_{3} \) be three mutually exclusive events such tha....
2024-01-23Paragraph Suppose \( E_{1}, E_{2} \) and \( E_{3} \) be three mutually exclusive events such tha....