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A box contains 3 bottles of juice, 4 bottles of lassi and 6 bottles of milkshake. 2 bottles are picked up randomly, what is the probability that both the bottles are of lassi?
  • a)
    1/9
  • b)
    1/6
  • c)
    1/13
  • d)
    14/13
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A box contains 3 bottles of juice, 4 bottles of lassi and 6 bottles of...
Given:
Number of bottle of juice = 3
Number of bottle of Lassi = 4
Number of bottle of milkshake = 6
Number of bottle picked up randomly = 2
Calculation:
Total number of bottles = (3 + 4 + 6) = 13
∴ Number of ways to choose 2 bottles = 13C2 = 78
Number of lassi bottles = 4
∴ Number of ways to choose 2 lassi bottles = 4C2 = 6
∴ Required probability = 6/78 = 1/13
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Most Upvoted Answer
A box contains 3 bottles of juice, 4 bottles of lassi and 6 bottles of...

Calculation of Probability

The total number of bottles in the box is 3 (juice) + 4 (lassi) + 6 (milkshake) = 13 bottles.

Favorable outcomes
- When picking 2 bottles of lassi out of 4, the number of ways this can be done is given by 4C2 (combination formula).
- 4C2 = 4! / (2! * (4-2)!) = 6 ways.

Total number of ways to pick 2 bottles out of 13
- Total number of ways to pick 2 bottles out of 13 is given by 13C2 (combination formula).
- 13C2 = 13! / (2! * (13-2)!) = 78 ways.

Probability of picking 2 bottles of lassi
- Probability = Number of favorable outcomes / Total number of outcomes
- Probability = 6 / 78
- Probability = 1/13

Therefore, the probability that both bottles picked are of lassi is 1/13.
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A box contains 3 bottles of juice, 4 bottles of lassi and 6 bottles of milkshake. 2 bottles are picked up randomly, what is the probability that both the bottles are of lassi?a)1/9b)1/6c)1/13d)14/13Correct answer is option 'C'. Can you explain this answer?
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A box contains 3 bottles of juice, 4 bottles of lassi and 6 bottles of milkshake. 2 bottles are picked up randomly, what is the probability that both the bottles are of lassi?a)1/9b)1/6c)1/13d)14/13Correct answer is option 'C'. Can you explain this answer? for Grade 10 2025 is part of Grade 10 preparation. The Question and answers have been prepared according to the Grade 10 exam syllabus. Information about A box contains 3 bottles of juice, 4 bottles of lassi and 6 bottles of milkshake. 2 bottles are picked up randomly, what is the probability that both the bottles are of lassi?a)1/9b)1/6c)1/13d)14/13Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Grade 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box contains 3 bottles of juice, 4 bottles of lassi and 6 bottles of milkshake. 2 bottles are picked up randomly, what is the probability that both the bottles are of lassi?a)1/9b)1/6c)1/13d)14/13Correct answer is option 'C'. Can you explain this answer?.
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