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Now consider the numerators. The first fraction, two thirds, is twice as large as one third. Since one third of a quarter is one twelfth, two thirds of a quarter is two twelfth. The second fraction, three quarters, is three times as large as one quarter, so two thirds of three quarters is three times as large as two thirds of one quarter.
Level 1 players would assume that everyone else was playing at level 0, responding to an assumed average of 50 in relation to naive play, and thus their guess would be 33 (2/3 of 50). At k-level 2, a player would play more sophisticatedly and assume that all other players are playing at k-level 1, so they would choose 22 (2/3 of 33). [9]
The first method authorizes Congress, "whenever two-thirds of both houses shall deem it necessary," [a] to propose constitutional amendments. The second method requires Congress, "on the application of the legislatures of two-thirds of the several states" (34 as of 1959), to "call a convention for proposing amendments". [6]
In statistics, the 68–95–99.7 rule, also known as the empirical rule, and sometimes abbreviated 3sr or 3 σ, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: approximately 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean ...
A two-thirds vote, when unqualified, means two-thirds or more of the votes cast. [9] [10] [11] This voting basis is equivalent to the number of votes in favor being at least twice the number of votes against. [12] Abstentions and absences may be excluded when calculating a two-thirds vote. [10]
A convention to propose amendments to the United States Constitution, also referred to as an Article V Convention, state convention, [1] or amendatory convention is one of two methods authorized by Article Five of the United States Constitution whereby amendments to the United States Constitution may be proposed: on the Application of two thirds of the State legislatures (that is, 34 of the 50 ...
Twice (two times) as many as one. doubled. 100% Three 300% Two times more than one, twice more than one, or 200% more than one, because = +. Three times as many as one. tripled. 200% Four 400% Three times more than one, or 300% more than one, because = +. Four times as many as one. quadrupled. 300% Five 500%
In some cases, the required percentage of member states in favor is increased to 72%. [9] A "supermajority" is a specified threshold greater than one half. [6] A common use of a supermajority is a "two-thirds vote", which is sometimes referred to as a "two-thirds majority".