If miranda is choosing socks from a drawer that contains 4 red socks and 4 blue socks whats the least number of socks that she must draw from the drawer at random until she can be sure that she has a pair of red socks?

To be SURE she has 2 red socks, she needs to assume she has the worst possible luck. What if the first 4 socks she draws are all blue? That’d be pretty unlucky if she wants red socks, but at that point she’d be out of blue socks and she’d HAVE to pick red ones. She can be SURE she has 2 red socks at her sixth draw:


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