Tbf I don’t like perms/combs because I’m not the best at coming up with counting techniques but this question is not perms/combs.How does one like probability
@sharky564 has posted some here: https://boredofstudies.org/threads/my-solutions-to-the-2019-mathematics-extension-2-paper.388915how long do we think for solutions??? tomorrow?
bruh I legit got it using only 2U knowledge why is this so easy?, but yeah the final result is indeed neatTbf I don’t like perms/combs because I’m not the best at coming up with counting techniques but this question is not perms/combs.
The result in itself is nice using the golden ratio. Not to mention to get there it merges the concepts of probability, geometric series (if my solution to it is correct but there may be other approaches) and quadratic inequalities in the one question.
The way I did it, was finding the probability that B wins, which is the sum of (A loses the B wins, A loses the B loses the A loses then B wins etc). Then you taking the limiting sum of this geometric series and set it greater then 1/2. The result follows.For the probability question, since player starts first, player chance of winning is always dependent on player failing the turn before player selects a marble. This immediately forces the condition: . Let and you quickly arrive at the inequality , and the result follows.
If you are given the size of an angle in radians in the question I think it is assumed that your answer will be in radians. That said, asking for a decimal approximation of an angle isnt something that lends itself to be expressed in radians, so I think you would be unlucky to be penalised.do yall think they'll penalise in q13 projectile for using degrees? they didn't state anything about using radians