Hello!
First you have to find the probability of picking the right numbers
To do this you do the amount of favorable outcomes over the total amount of outcomes
There are 5 favorable numbers and 18 in total
This is a probability of 5/18
For the second number there of 4 favorable numbers and 17 in total since you already picked one
This is a probability of 4/ 17
For the third number there are 3 favorable numbers and 16 in total
This is a probability of 3/ 16
For the fourth number there are 2 favorable numbers and 15 in total
This is a probability of 2/ 15
For the fifth number there are 1 favorable numbers and 14 in total
This is a probability of 1/14
To get the answer you multiply all the probabilities together
5/18 * 4/17 * 3/16 * 2/15 * 1/14 = 1 / 8568
The answer is [tex] \frac{1}{8568} [/tex]
Hope this helps!
