Final answer:
The odds of winning the jackpot on a slot machine with three dials, each with 40 positions, is 1 in 64,000.
Step-by-step explanation:
The odds of winning the jackpot on a slot machine with three dials, each with 40 positions, are calculated by multiplying the probabilities of each dial stopping in the jackpot position. Since each dial has 40 positions and only 1 of those positions is the jackpot position, the probability of a single dial stopping in the jackpot position is 1/40. To find the odds of all three dials stopping in the jackpot position, we multiply the probabilities together: (1/40) x (1/40) x (1/40), which simplifies to 1/64000.