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  • A coin is tossed thrice. Let be the event that head occurs in each of the first two tosses. Let <img

A coin is tossed thrice. Let \mathrm{X} be the event that head occurs in each of the first two tosses. Let \mathrm{Y}be the event that a tail occurs on the third toss. Let \mathrm{Z} be the event that two tails occur in three tosses. Based on the above information which one of the following statements is TRUE?

Option: 1

\mathrm{X} and \mathrm{Y}are not independent


Option: 2

\mathrm{Y} and \mathrm{Z} are dependent


Option: 3

\mathrm{Y} and \mathrm{Z} are independent


Option: 4

\mathrm{X} and \mathrm{Z} are independent


Answers (1)

best_answer

\mathrm{Y} is the event in which tail occurs on the third attempt and \mathrm{Z} is the event in which two tails comes in the three attempts, so if \mathrm{Y} event occurs then only one tail has to appear on the first two attempts, so \mathrm{Y} and \mathrm{Z} are not independent they are dependent.

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Gaurav

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