To pass a test a child has to perform successfully in two consecutive tasks, one easy and one ha...

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To pass a test a child has to perform successfully in two consecutive tasks, one easy and one hard task. The easy task he can perform successfully with probability \( e \) and the hard task he can perfrom successfully with probability \( h \) , where \( he \). He is allowed 3 attempts, eithers in the order (Easy, Hard, Easy) (Option \( A \) ) or in the order (Hard, Easy, Hard) (option \( B \) ) whatever may be the order, he must be successful twice in a row. Assuming that his attempts are independent, in what order he choses to take the tasks, in order to maximise his probability of passing the test.
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