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The strength of 60 students has been divided into two sections A and B with 35 students and 25 students respectively. if you and your sister are among these 60 students then find the probability of both of you being in same section?
Most Upvoted Answer
The strength of 60 students has been divided into two sections A and B...
TOTAL STUDENTS
60
A. B
35. 25
P = 35C2+ 25C2 / 60C2
=( 35×34/2 + 25×24/2 ) /60×59/2
• .• Nc2 = n(n-1)/2 ]
= 895/1770
= 179/354 ans.
60
A. B
35. 25
P = 35C2+ 25C2 / 60C2
=( 35×34/2 + 25×24/2 ) /60×59/2
• .• Nc2 = n(n-1)/2 ]
= 895/1770
= 179/354 ans.
Community Answer
The strength of 60 students has been divided into two sections A and B...
Probability of Being in the Same Section
Given Information:
- Total students = 60
- Section A has 35 students
- Section B has 25 students
Calculating the Probability:
- Total number of ways to select 2 students out of 60 = 60C2 = 1770
Case 1: Both in Section A
- Number of ways to select 2 students from 35 in Section A = 35C2 = 595
Case 2: Both in Section B
- Number of ways to select 2 students from 25 in Section B = 25C2 = 300
Total favorable outcomes:
- Total ways for both in the same section = 595 (both in A) + 300 (both in B) = 895
Probability of both being in the same section:
- Probability = Favorable outcomes / Total outcomes = 895 / 1770 ≈ 0.5056
Therefore, the probability of you and your sister being in the same section is approximately 0.5056 or 50.56%.
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The strength of 60 students has been divided into two sections A and B with 35 students and 25 students respectively. if you and your sister are among these 60 students then find the probability of both of you being in same section?
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The strength of 60 students has been divided into two sections A and B with 35 students and 25 students respectively. if you and your sister are among these 60 students then find the probability of both of you being in same section? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The strength of 60 students has been divided into two sections A and B with 35 students and 25 students respectively. if you and your sister are among these 60 students then find the probability of both of you being in same section? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The strength of 60 students has been divided into two sections A and B with 35 students and 25 students respectively. if you and your sister are among these 60 students then find the probability of both of you being in same section?.
The strength of 60 students has been divided into two sections A and B with 35 students and 25 students respectively. if you and your sister are among these 60 students then find the probability of both of you being in same section? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The strength of 60 students has been divided into two sections A and B with 35 students and 25 students respectively. if you and your sister are among these 60 students then find the probability of both of you being in same section? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The strength of 60 students has been divided into two sections A and B with 35 students and 25 students respectively. if you and your sister are among these 60 students then find the probability of both of you being in same section?.
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