Lion or virgin

We toss coin, every throw fits lion or a virgin with equal probability 1/2. Determine how much at least we have to make throws that with probability 0.9 lion fell at least once.

Correct result:

n =  4

Solution:

0.5n<10.9 0.5n<0.1 nln0.5>ln0.1 n>3.32 n=40.5^n< 1-0.9 \ \\ 0.5^n< 0.1 \ \\ n \ln 0.5 > \ln 0.1 \ \\ n > 3.32 \ \\ n = 4



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