N questions can either be true or false. If you answer all n correct you win. What is the least value of n for which the probability is less than 1/1000 for you to win by guessing randomly?
a. 5
b. 10
c. 50
d. 100
e. 1000
I was able to derive the correct answer, which is B. However, I feel that I took a very long approach to derive the answer. I know there is a faster way. They way I basically solved the problem was by setting 2^n = 1000. However, then I literally went through powers until I was close enough to 1000. I know there is a faster way to realize the answer is 10. Could someone please guide me in the right direction. Thx
a. 5
b. 10
c. 50
d. 100
e. 1000
I was able to derive the correct answer, which is B. However, I feel that I took a very long approach to derive the answer. I know there is a faster way. They way I basically solved the problem was by setting 2^n = 1000. However, then I literally went through powers until I was close enough to 1000. I know there is a faster way to realize the answer is 10. Could someone please guide me in the right direction. Thx
