SOLUTION: A game of chance is played by selecting 4 numbers out of 20. The numbers 1 to 20 are then drawn without replacements. You win the game only if you selected all four numbers that a

Algebra ->  Probability-and-statistics -> SOLUTION: A game of chance is played by selecting 4 numbers out of 20. The numbers 1 to 20 are then drawn without replacements. You win the game only if you selected all four numbers that a      Log On


   

Question 991291: A game of chance is played by selecting 4 numbers out of 20.
The numbers 1 to 20 are then drawn without replacements. You win the game only if you selected all four numbers that are drawn.
What is the chance you will win? Complete the answer in scientific notation correct to one significant figure by entering the missing index (n).
+2+%2A+10%5En+
Please show working.
Ok so I tried doing it.
+1%2F20+%2A+1%2F19+%2A+1%2F18+%2A+1%2F17+
= 8.6 * 10^-6
not the 2 times 10 to the something
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Your logic is sound with how you get the probability.
The question they're asking is, "Find n so that 2%2A10%5En=1%2F%2820%2A19%2A18%2A17%29"
10%5En=1%2F%2840%2A19%2A18%2A17%29
n=log%28%281%2F%2840%2A19%2A18%2A17%29%29%29
n=-5.367
To one significant figure,
n=-5