Chevalier de Mr, a French nobleman of the seventeenth century, reasoned that in a single throw of

Chevalier de Méré, a French nobleman of the seventeenth century, reasoned that in a single throw of a fair die, P(1)  so in two throws, P(1 appears at least once) 

What is wrong with the above reasoning? Use the sample space of Exercise 4.21 to obtain the correct answer.