Dear all,(adsbygoogle = window.adsbygoogle || []).push({});

I have a question.

Suppose we have 3 events X,Y,Z defined as having 200 heads, 400 heads & 600 heads obtained in tossing a fair coin for 800 times.

Then, P(Z)=P(X+Y)=P(600)=P(200+400)=P(X)+P(Y)=P(200)+P(400)

The answer is false but I view it otherwise. My argument is based on the idea of the union of 2 events -> P(X U Y) =P(X) + P(Y). Following this line of reasoning, why is the above statement not considered true?

Please kindly elaborate and direct me to the right understanding level.

Thanks in advance.

Regards

Rela

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# (True/False) Basic Probability Theory

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