GATE Exam  >  GATE Questions  >  A coin is tossed thrice. Let X be the event t... Start Learning for Free
A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the  above information, which one of the following statements is TRUE?
  • a)
    X and Y are not independent
  • b)
    Y and Z are dependent
  • c)
    Y and Z are independent
  • d)
    X and Z are independent 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A coin is tossed thrice. Let X be the event that head occurs in each o...
Event X =HH _
event  Y= _ _T      so X and Y are independent  so option A is out
event Z = 2T 1 H (any order TTH,THT,HTT)  so if X occurs Z can not occur hence X and Z are dependent events so option D is out
event Z = 2T 1 H ( TTH(event Y is not possible hence Y and Z are dependent) THT(event Y is possible) ,HTT (event Y is possible)
consider  choice C and D the question is asked about 2 (exactly 2) tails occur in 3 tosses now if there is a tail in 3rd toss then we need only one tail in first 2 tosses else we need 2 tails   hence they are dependent on each other
View all questions of this test
Explore Courses for GATE exam
A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?a)X and Y are not independentb)Y and Z are dependentc)Y and Z are independentd)X and Z are independentCorrect answer is option 'B'. Can you explain this answer?
Question Description
A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?a)X and Y are not independentb)Y and Z are dependentc)Y and Z are independentd)X and Z are independentCorrect answer is option 'B'. 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 A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?a)X and Y are not independentb)Y and Z are dependentc)Y and Z are independentd)X and Z are independentCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?a)X and Y are not independentb)Y and Z are dependentc)Y and Z are independentd)X and Z are independentCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?a)X and Y are not independentb)Y and Z are dependentc)Y and Z are independentd)X and Z are independentCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?a)X and Y are not independentb)Y and Z are dependentc)Y and Z are independentd)X and Z are independentCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?a)X and Y are not independentb)Y and Z are dependentc)Y and Z are independentd)X and Z are independentCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?a)X and Y are not independentb)Y and Z are dependentc)Y and Z are independentd)X and Z are independentCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?a)X and Y are not independentb)Y and Z are dependentc)Y and Z are independentd)X and Z are independentCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?a)X and Y are not independentb)Y and Z are dependentc)Y and Z are independentd)X and Z are independentCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
Explore Courses for GATE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev