to win the lotto you must choose six different numbers from 1 to 44 to match the same numbers drawn. the order of the numbers does not matter. what is the probability of winning

lotto.result.for.last.game.15.JULY.2016

To calculate the probability of winning the lotto, we need to determine the number of favorable outcomes (winning combinations) and the total number of possible outcomes (all possible number combinations).

In this case, we are choosing 6 different numbers from a pool of 44 numbers, and the order of the numbers does not matter.

To find the number of possible winning combinations, we can use the concept of combinations. The formula for combinations is as follows:

nCr = n! / (r! * (n-r)!)

Where n is the total number of items to choose from, and r is the number of items to be chosen. (n! represents "n factorial" which means multiplying all the numbers from 1 to n)

In this case, we have:
n = 44 (total number of numbers to choose from)
r = 6 (number of numbers to be chosen)

So, the number of different ways to choose 6 numbers from a pool of 44 is:

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

Now, let's find the total number of possible outcomes. Since we are choosing 6 numbers from a pool of 44, the total number of possible outcomes is:

44P6 = 44! / (44-6)! = (44 * 43 * 42 * 41 * 40 * 39)

Finally, to calculate the probability of winning, we divide the number of favorable outcomes (winning combinations) by the total number of possible outcomes:

Probability of winning = Number of favorable outcomes / Total number of possible outcomes

Probability of winning = 44C6 / 44P6

By calculating the above expression, we can determine the exact probability of winning the lotto.