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In a class, 30% of the students passed in English, 20% of the students passed in Hindi and 10% passed in both. If a student is selected at random, what is the probability that he passed in English or Hindi?  
  • a)
    9/10
  • b)
    1/2
  • c)
    2/5
  • d)
    3/5
Correct answer is option 'C'. Can you explain this answer?
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In a class, 30% of the students passed in English, 20% of the students...
Given:
- 30% of the students passed in English.
- 20% of the students passed in Hindi.
- 10% passed in both English and Hindi.

To find:
The probability that a randomly selected student passed in either English or Hindi.

Solution:
To solve this problem, we need to use the concept of probability and set theory. Let's break down the problem step by step.

Step 1: Find the probability of passing in English:
Given that 30% of the students passed in English, the probability of passing in English is 30% or 0.3.

Step 2: Find the probability of passing in Hindi:
Given that 20% of the students passed in Hindi, the probability of passing in Hindi is 20% or 0.2.

Step 3: Find the probability of passing in both English and Hindi:
Given that 10% of the students passed in both English and Hindi, the probability of passing in both is 10% or 0.1.

Step 4: Find the probability of passing in either English or Hindi:
To find the probability of passing in either English or Hindi, we need to subtract the probability of passing in both English and Hindi from the sum of the probabilities of passing in English and Hindi.

P(English or Hindi) = P(English) + P(Hindi) - P(English and Hindi)

P(English or Hindi) = 0.3 + 0.2 - 0.1

P(English or Hindi) = 0.4

Therefore, the probability that a randomly selected student passed in either English or Hindi is 0.4 or 40%.

Answer:
The correct answer is option C) 2/5.
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Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president? Correct answer is '64'. Can you explain this answer?

InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey.1. 250 students supported proposal A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.7. Among those who preferred Ragini, 20% did not support any of the proposals.Q.Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president? Correct answer is '64'. Can you explain this answer?

InstructionsComprehension:Students in a college are discussing two proposals --A: a proposal by the authorities to introduce dress code on campus, andB: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey.1. 250 students supported proposal A and 250 students supported proposal B.2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.3. Among those who preferred Ragini, 30% supported proposal A.4. 20% of those who supported proposal B preferred Sunita.5. 40% of those who did not support proposal B preferred Ragini.6. Every student who preferred Sunita and supported proposal B also supported proposal A.7. Among those who preferred Ragini, 20% did not support any of the proposals.Q.What percentage of the students surveyed who did not support proposal A preferred Ragini as student union president? Correct answer is '84'. Can you explain this answer?

Students in a college are discussing two proposals --1: a proposal by the authorities to introduce dress code on campus, and 2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.A student does not necessarily support either of the two proposals.In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 1. 250 students supported proposal 1 and 250 students supported proposal 2. 2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1. 3. Among those who preferred Ragini, 30% supported proposal 1. 4. 20% of those who supported proposal 2 preferred Sunita. 5. 40% of those who did not support proposal 2 preferred Ragini. 6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1. 7. Among those who preferred Ragini, 20% did not support any of the proposals.Q. Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president? Correct answer is '64'. Can you explain this answer?

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In a class, 30% of the students passed in English, 20% of the students passed in Hindi and 10% passed in both. If a student is selected at random, what is the probability that he passed in English or Hindi?a)9/10b)1/2c)2/5d)3/5Correct answer is option 'C'. Can you explain this answer?
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