7. Since it seemed to me that by pure chance some facts had occurred just as they had been predicted by the soothsayers, you spoke at length about chance, and you said, for example, that the ``throw of Venus'' could be obtained by randomly throwing four dice [...] Cicero, De divinatione, II, 21, 48 – translation and edited by S. Timpanaro, Garzanti, Milan 1999. Original text – Nam cum mihi quaedam casu viderentur sic evenire ut praedicta essent a divinantibus, dixisti multa de casu, ut Venerium iaci posse casu quattuor talis iactis [...]. Cicero, in the dialogue with his brother Quintus, speaks of the throw of Venus, which consists of throwing 4 four-sided dice obtaining 4 different results. Assuming that the faces of each die are equally probable, determine: – the probability of obtaining the throw of Venus in the roll of 4 dice; – the probability of obtaining 4 numbers all equal.
7. Since it seemed to me that by pure chance some facts had occurred just as they had been predicted by the soothsayers, you spoke at length about chance, and you said, for example, that the ``throw of Venus'' could be obtained by randomly throwing four dice [...]
Cicero, De divinatione, II, 21, 48 – translation and edited by S. Timpanaro, Garzanti, Milan 1999.\\
Original text – Nam cum mihi quaedam casu viderentur sic evenire ut praedicta essent a divinantibus, dixisti multa de casu, ut Venerium iaci posse casu quattuor talis iactis [...].
Cicero, in the dialogue with his brother Quintus, speaks of the throw of Venus, which consists of throwing 4 four-sided dice obtaining 4 different results. Assuming that the faces of each die are equally probable, determine:\\
– the probability of obtaining the throw of Venus in the roll of 4 dice;\\
– the probability of obtaining 4 numbers all equal.