For The Mathematically Inclined

PROBLEM # 2

If, in the triangle ABC, angle BAO = angle OAC = 20Â°, angle ACO = 10Â°,and angle OCB = 30Â°, then what is angle OBC ?

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Problems from 07/19/12

PROBLEM #1
Player A has one more coin than player B. Both players throw all of their coins simultaneously and observe the number that come up heads. Assuming all the coins are fair, what is the probability that A obtains more heads than B?

SOLUTION 1
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PROBLEM #2
Two students play a game based on the total roll of two standard dice. Student A says that a 12 will be rolled first. Student B says that two consecutive 7s will be rolled first. The students keep rolling until one of them wins. What is the probability that A will win?