A coin is tossed thrice. Let X be the event that head occurs in each of the…

GATE · 2015 · ME · Set 3 · General Aptitude

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?

  1. A.

    X and Y are not independent

  2. B.

    Y and Z are dependent

  3. C.

    Y and Z are independent

  4. D.

    X and Z are independent

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