MathDB

4

Part of 2019 MIG

Problems(2)

2019 Individual #4

Source:

5/1/2022
Allen flips a fair two sided coin and rolls a fair 66 sided die with faces numbered 11 through 66. What is the probability that the coin lands on heads and he rolls a number that is a multiple of 55?
<spanclass=′latex−bold′>(A)</span>124<spanclass=′latex−bold′>(B)</span>112<spanclass=′latex−bold′>(C)</span>16<spanclass=′latex−bold′>(D)</span>14<spanclass=′latex−bold′>(E)</span>13<span class='latex-bold'>(A) </span>\dfrac1{24}\qquad<span class='latex-bold'>(B) </span>\dfrac1{12}\qquad<span class='latex-bold'>(C) </span>\dfrac16\qquad<span class='latex-bold'>(D) </span>\dfrac14\qquad<span class='latex-bold'>(E) </span>\dfrac13
2019 Individual
2019 Team #4

Source:

5/1/2022
ABAB is the diameter of circle OO. A random point PP is selected on OO so that AP=4AP = 4 and BP=3BP = 3. Points CC and DD are drawn on circle OO so that OCOC bisects APAP and ODOD bisects BPBP. What is the degree measure of ∠COD\angle COD?
2019 Teamgeometry