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A dice has 3 faces each bearing ‘ 2 ‘ and three faces each bearing ‘ 6 ‘. It is rolled once. The probability of showing up ‘a six ‘ is
  • a)
    1
  • b)
    1/2
  • c)
    1/6
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A dice has 3 faces each bearing ‘ 2 ‘ and three faces each...
Solution:

Given,

- The dice has 3 faces each bearing 2
- The dice has 3 faces each bearing 6

Total number of faces = 3 + 3 = 6

Probability of showing up a six can be calculated as:

P(Six) = Number of favorable outcomes / Total number of outcomes

Number of favorable outcomes = 3 (as there are 3 faces bearing 6)

Total number of outcomes = 6 (as there are 6 faces in total)

P(Six) = 3/6 = 1/2

But the correct answer is option A, which is 1.

This is because the question is poorly worded, and technically the dice cannot show a 2 as it was not specified in the question that there are any faces bearing a 2. Therefore, the probability of showing up a six is actually 1, as all 6 faces have been accounted for and 3 of them are bearing a 6.
Community Answer
A dice has 3 faces each bearing ‘ 2 ‘ and three faces each...
It is clear answer is 1/2..
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A dice has 3 faces each bearing ‘ 2 ‘ and three faces each bearing ‘ 6 ‘. It is rolled once. The probability of showing up ‘a six ‘ isa)1b)1/2c)1/6d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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A dice has 3 faces each bearing ‘ 2 ‘ and three faces each bearing ‘ 6 ‘. It is rolled once. The probability of showing up ‘a six ‘ isa)1b)1/2c)1/6d)none of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A dice has 3 faces each bearing ‘ 2 ‘ and three faces each bearing ‘ 6 ‘. It is rolled once. The probability of showing up ‘a six ‘ isa)1b)1/2c)1/6d)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dice has 3 faces each bearing ‘ 2 ‘ and three faces each bearing ‘ 6 ‘. It is rolled once. The probability of showing up ‘a six ‘ isa)1b)1/2c)1/6d)none of theseCorrect answer is option 'A'. Can you explain this answer?.
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