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Engineering Mathematics

Independent and Dependent Events

A coin is tos...

Question

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?

X and Y are not independent

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Y and Z are dependent

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Y and Z are independent

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X and Z are independent

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Solution

The correct option is B Y and Z are dependent
Y is the event in which tail occurs on the third attempt and Z is the event in which two tails comes in the three attempts, so if Y event occurs then only one tail has to appear on the first two attemps, so Y and Z are not independent they are dependent.

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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?

The correct option is B Y and Z are dependentY is the event in which tail occurs on the third attempt and Z is the event in which two tails comes in the three attempts, so if Y event occurs then only one tail has to appear on the first two attemps, so Y and Z are not independent they are dependent.