csat-suneung 2007 Q29

csat-suneung · South-Korea · csat__math-humanities 4 marks Binomial Distribution Compute Exact Binomial Probability

There is a television with channels set from 1 to 100. The currently active channel is 50. When one button is randomly pressed six times, either the channel increase button or the channel decrease button, what is the probability that the channel returns to 50? (Note: Each time a button is pressed, the channel changes by 1.) [4 points]
(1) $\frac { 1 } { 4 }$
(2) $\frac { 5 } { 16 }$
(3) $\frac { 3 } { 8 }$
(4) $\frac { 7 } { 16 }$
(5) $\frac { 1 } { 2 }$

There is a television with channels set from 1 to 100. The currently active channel is 50. When one button is randomly pressed six times, either the channel increase button or the channel decrease button, what is the probability that the channel returns to 50? (Note: Each time a button is pressed, the channel changes by 1.) [4 points]\\
(1) $\frac { 1 } { 4 }$\\
(2) $\frac { 5 } { 16 }$\\
(3) $\frac { 3 } { 8 }$\\
(4) $\frac { 7 } { 16 }$\\
(5) $\frac { 1 } { 2 }$

Paper Questions

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