Answer: 0.238853503185
(I obviously used a calculator.)
If you rounded this answer, it would be 0.24. Hope this helps!
Depends on the fraction to determine your answer
Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.
The 2 numbers picked right, there are 5C2=10 different possibilities.
The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.
For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.
Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.
Now the way to find probabilities is want/total
The want is 46900 and the total is 435897
Doing the division you get the number rounded to the nearest thousandths as 0.107 or in percent form as
10.759% chance of picking exactly 2 winning numbers.
This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.
Here is you're answer:
In order to get you're answer you first need to solve this equation then draw the model.


- Use KCF

- Now solve:

- Simplify:


"Now draw four boxes, then draw another box under each box with 3 parts in each box. Then color 2 parts of each box, Add each box to equal 6 which is you're answer."
Therefore you're answer is "6."
Hope this helps!