There are a total of 45 white balls and the player must match all 5 of them.
The probability of matching the first number drawn is 1 out of 45.
The probability of matching the second number drawn is 1 out of 44 (since one number has already been drawn).
The probability of matching the third number drawn is 1 out of 43.
The probability of matching the fourth number drawn is 1 out of 42.
The probability of matching the fifth number drawn is 1 out of 41.
Since the order doesn't matter, we need to multiply these probabilities by the number of possible permutations of the 5 numbers, which is 5! (5 factorial).
So, the probability of matching all 5 white balls in any order is:
(1/45) * (1/44) * (1/43) * (1/42) * (1/41) * 5! = (1/45) * (1/44) * (1/43) * (1/42) * (1/41) * 120 = 1/8,145,060
There are also 32 possible outcomes for the gold ball and the player must match it.
The probability of matching the gold ball is 1 out of 32.
Therefore, the probability of winning the jackpot is:
(1/8,145,060) * (1/32) ≈ 0.0000001544 or about 0.00001544%.
So, the probability of winning the jackpot with one ticket is approximately 0.00001544%.