Business Day

STREET DOGS

- Michel Pireu (pireum@streetdogs.co.za)

From What I Learned Losing a Million Dollars by Jim Paul and Brendan Moynihan

Six psychologi­cal fallacies of risk:

The tendency to overvalue wagers involving a low probabilit­y of a high gain and to undervalue wagers involving a relatively high probabilit­y of low gain;

A tendency to interpret the probabilit­y of successive independen­t events as additive rather than multiplica­tive. In other words, people view the chance of throwing a given number on a die to be twice as large with two throws as it is with a single throw;

The belief that after a run of successes, a failure is mathematic­ally inevitable, and vice versa — also known as the Monte Carlo fallacy. Someone can throw double sixes 10 times in a row and not violate any laws of probabilit­y because each of the throws is independen­t of all others;

The perception that the psychologi­cal probabilit­y of the occurrence of an event exceeds the mathematic­al probabilit­y if the event is favourable and vice versa. For example, the probabilit­y of buying the winning ticket in a lottery and being killed by lightning may be the same, but buying the winning lottery ticket is considered much more likely;

People’s tendency to overestima­te the frequency of the occurrence of infrequent events and to underestim­ate that of comparativ­ely frequent ones. Thus, they remember the “streaks” in a long series of wins and losses and tend to minimise the number of short-term runs; and

People’s tendency to confuse the occurrence of “unusual” events with the occurrence of low-probabilit­y events. So someone holding a number close to the winning number in a lottery is likely to be left feeling that they missed the win as a result of a terrible stroke of bad luck.

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