Four numbers are drawn from random tiles numbereed 0 through 9. What are the odds of drawing numbers 1 through four in any order?
so you want 1-2-3-4
prob = (1/10)(1/9)(1/8)(1/7) = 1/5040
prob of not getting 1-2-3-4 is 5039/5040
so the odds in favour of 1-2-3-4 is (1/5040) / (5039/5040)
= 1 : 5039
To calculate the odds of drawing numbers 1 through 4 in any order, we need to determine the total number of possible outcomes and the number of favorable outcomes.
First, let's calculate the total number of possible outcomes. Since four numbers are drawn from 0 through 9, there are 10 possible choices for each of the four positions. Therefore, the total number of possible outcomes is 10^4 = 10,000.
Next, we need to determine the number of favorable outcomes, i.e., the number of ways we can draw numbers 1 through 4 in any order. There are 4 different numbers that we want to draw, and we have 4 positions to fill. The first position can be filled with any of the 4 numbers, the second position can be filled with any of the remaining 3 numbers, the third position with any of the remaining 2 numbers, and the final position with the remaining 1 number. Therefore, the number of favorable outcomes is 4 * 3 * 2 * 1 = 24.
Finally, we can calculate the odds by dividing the number of favorable outcomes by the total number of possible outcomes:
Odds = Number of favorable outcomes / Total number of possible outcomes = 24 / 10,000
Simplifying the fraction, we get:
Odds = 1 / 416.667
Therefore, the odds of drawing numbers 1 through 4 in any order from random tiles numbered 0 through 9 are approximately 1 in 416.667.