You all might see it is very simple question , but i studied about independent events and then even there is a answer here :

What is the difference between independent and mutually exclusive events?

A : event of occuring head in first coin

B : event of occuring tail in second coin

Clearly these are independent events so by the rule of probability

P(A and B) = P(A) * P(B) so then the answer is (1 / 2) * (1/ 2) which is 1 / 4 but when we see the sample space and answer this question it is coming 1 / 2 as they are 2 combinations of H and T in the sample space when tossing 2 coins

edit : Yeah i am sorry, i did not make my question clear. So when i am using the independent events concept to solve the question the ans is (1 / 4). But then when i am using sample space to answer this question ans is (1 /2). So which is the correct method of solving this quesiton and also please clarify me about why when using independent events is not working

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