jee-advanced 2017 Q43

jee-advanced · India · paper2 Probability Definitions Probability Involving Algebraic or Number-Theoretic Conditions

Three randomly chosen nonnegative integers $x , y$ and $z$ are found to satisfy the equation $x + y + z = 10$. Then the probability that $z$ is even, is
[A] $\frac { 36 } { 55 }$
[B] $\frac { 6 } { 11 }$
[C] $\frac { 1 } { 2 }$
[D] $\frac { 5 } { 11 }$

Three randomly chosen nonnegative integers $x , y$ and $z$ are found to satisfy the equation $x + y + z = 10$. Then the probability that $z$ is even, is

[A] $\frac { 36 } { 55 }$

[B] $\frac { 6 } { 11 }$

[C] $\frac { 1 } { 2 }$

[D] $\frac { 5 } { 11 }$

Paper Questions

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