Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose the possible answer. Quantity A∶ Vikas and Kishan are standing in a line with 6 other people. Find the probability that there are 4 people between Vikas and Kishan. Quantity B∶ Samar buys 14 bulbs out of which 9 are faulty. If he tests two bulbs, find the probability that both are not faulty.?

Question

Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose the possible answer. Quantity A∶ Vikas and Kishan are standing in a line with 6 other people. Find the probability that there are 4 people between Vikas and Kishan. Quantity B∶ Samar buys 14 bulbs out of which 9 are faulty. If he tests two bulbs, find the probability that both are not faulty.?

Quantity A > Quantity B
Quantity A < Quantity B
Quantity A ≥ Quantity B
Quantity A ≤ Quantity B
Quantity A = Quantity B or No relation.

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 2 : Quantity A < Quantity B

Quantity A∶

Total 8 people are standing in the line;

Conditions when Vikas and Kishan will have 4 people between them∶

1. Vikas at 1^st position and Kishan at 6^th position & vice versa:

⇒ Number of such arrangements = 2 × 6!

2. Vikas at 2^nd position and Kishan at 7^th position & vice versa∶

⇒ Number of such arrangements = 2 × 6!

3. Vikas at 3^rd position and Kishan at 8^th position & vice versa∶

⇒ Number of such arrangements = 2 × 6!

∴ Total number of arrangements when Vikas and Kishan will have 4 people between them = 3 × 2 × 6!

∵ Number of arrangements in which 8 people will stand in a line = 8!

∴ Required probability = (3 × 2 × 6!)/8! = 3/28

Quantity B∶

Total bulbs = 14, faulty bulbs are 9, so non-faulty will be 5.

∴ Required probability = ⁵C₂/¹⁴C₂ = 10/91

∴ Quantity A < Quantity B