Winning the jackpot in the connecticut classic lotto requires that you choose six different numbers from 1 to 44, and your numbers must match the same six numbers that are later drawn. the order of the selected numbers does not matter. if you buy one ticket, what is the probability of winning the jackpot?

number of choices = C(44,6)

one of those is correct,

prob(big win) = 1/C(44,6) = 1/7059052
= appr .000000141

The probability of getting struck by lightning is about 10 times that.

Or, consider the probability of drawing 6 consecutive winning numbers without replacement:

6/44 * 5/43 ... * 1/39
= 6!/(44*...*39)
= 1/C(44,6)

To calculate the probability of winning the jackpot in the Connecticut Classic Lotto, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:
Since you need to choose 6 different numbers from a pool of 44 numbers, the total number of possible outcomes can be calculated using the combination formula. The formula for combinations is nCr = n!/((n-r)!r!), where n is the total number of items to choose from, and r is the number of items to be chosen. In this case, n = 44 and r = 6.

44C6 = 44!/((44-6)!6!) = 44!/(38!6!) = (44*43*42*41*40*39)/(6*5*4*3*2*1) = 705,905,200

Number of favorable outcomes:
There is only one combination of numbers that would result in winning the jackpot, and that is when your ticket matches the exact six numbers drawn.

Therefore, the number of favorable outcomes is 1.

Probability of winning the jackpot:
The probability of any event is equal to the number of favorable outcomes divided by the number of total outcomes.

Probability = Number of favorable outcomes / Number of total outcomes
Probability = 1 / 705,905,200

Thus, the probability of winning the Connecticut Classic Lotto jackpot with one ticket is approximately 1 in 705,905,200.

To calculate the probability of winning the jackpot in the Connecticut Classic Lotto, we need to determine the total number of possible outcomes and the number of desirable outcomes (matching all six numbers).

Step 1: Determine the total number of possible outcomes.
Since you need to choose six different numbers from 1 to 44, the total number of possible outcomes is the number of ways you can choose six numbers from 44, without considering the order. This can be calculated using the formula for combinations, denoted as "nCr":
nCr = n! / (r! * (n-r)!)
In this case, n = 44 (the total number of numbers to choose from) and r = 6 (the number of numbers to be chosen).

Using the formula:
44C6 = 44! / (6! * (44-6)!)
= 44! / (6! * 38!)
= (44 * 43 * 42 * 41 * 40 * 39) / (6 * 5 * 4 * 3 * 2 * 1)
= 7,059,052

So, there are a total of 7,059,052 possible outcomes in the Connecticut Classic Lotto.

Step 2: Determine the number of desirable outcomes (winning combinations).
To win the jackpot, you need to match all six numbers drawn. Since the order of the numbers does not matter, we can use the combination formula again:
6C6 = 6! / (6! * (6-6)!)
= 6! / (6! * 0!)
= (6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1)
= 1

Therefore, there is only one winning combination.

Step 3: Calculate the probability of winning the jackpot.
Now that we have the total number of outcomes (7,059,052) and the number of winning outcomes (1), we can calculate the probability of winning the jackpot as:
Probability = Number of Winning Outcomes / Total Number of Outcomes

Probability = 1 / 7,059,052

Thus, the probability of winning the jackpot in the Connecticut Classic Lotto with a single ticket is approximately 1 in 7,059,052.