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Direction: Find the correct relationship between the given quantities-
Quantity I: Let E be the set of all integers with 6 in their unit place. The probability that a number chosen from the set {10, 11, 12, ........59} is a member of E is?
Quantity II: A boy speaks truth in 70% of cases while another boy speaks truth in 65% cases. The probability that they will contradict each other on stating the same fact is?
  • a)
    Quantity I > Quantity II
  • b)
    Quantity I ≥ Quantity II
  • c)
    Quantity II > Quantity I
  • d)
    Quantity II ≥ Quantity I
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Direction: Find the correct relationship between the given quantities...
Quantity I: The sample space is n(s) = 50
The favourable outcomes are {16, 26, 36, 46, 56} i.e. 5
Probability = 5/50 = 0.1
Quantity II: Boy 1 speaks truth in 70% cases so 70/100 = 7/10 and
Boy 2: 65/100 = 13/20
Boy 2 does not speak truth in 35/100 cases i.e. 7/20
Probability = p (A')×p (B) +p (A)×p (B’)
[7×7/ (10×20)]+ [3×13/ (10×20)]
= 0.44
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Direction: Find the correct relationship between the given quantities-Quantity I: Let E be the set of all integers with 6 in their unit place. The probability that a number chosen from the set {10, 11, 12, ........59} is a member of E is?Quantity II: A boy speaks truth in 70% of cases while another boy speaks truth in 65% cases. The probability that they will contradict each other on stating the same fact is?a)Quantity I > Quantity IIb)Quantity I ≥ Quantity IIc)Quantity II > Quantity Id)Quantity II ≥ Quantity ICorrect answer is option 'C'. Can you explain this answer?
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Direction: Find the correct relationship between the given quantities-Quantity I: Let E be the set of all integers with 6 in their unit place. The probability that a number chosen from the set {10, 11, 12, ........59} is a member of E is?Quantity II: A boy speaks truth in 70% of cases while another boy speaks truth in 65% cases. The probability that they will contradict each other on stating the same fact is?a)Quantity I > Quantity IIb)Quantity I ≥ Quantity IIc)Quantity II > Quantity Id)Quantity II ≥ Quantity ICorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Direction: Find the correct relationship between the given quantities-Quantity I: Let E be the set of all integers with 6 in their unit place. The probability that a number chosen from the set {10, 11, 12, ........59} is a member of E is?Quantity II: A boy speaks truth in 70% of cases while another boy speaks truth in 65% cases. The probability that they will contradict each other on stating the same fact is?a)Quantity I > Quantity IIb)Quantity I ≥ Quantity IIc)Quantity II > Quantity Id)Quantity II ≥ Quantity ICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Find the correct relationship between the given quantities-Quantity I: Let E be the set of all integers with 6 in their unit place. The probability that a number chosen from the set {10, 11, 12, ........59} is a member of E is?Quantity II: A boy speaks truth in 70% of cases while another boy speaks truth in 65% cases. The probability that they will contradict each other on stating the same fact is?a)Quantity I > Quantity IIb)Quantity I ≥ Quantity IIc)Quantity II > Quantity Id)Quantity II ≥ Quantity ICorrect answer is option 'C'. Can you explain this answer?.
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