turkey-yks 2021 Q15

turkey-yks · Other · yks-ayt Probability Definitions Conditional Probability and Bayes' Theorem
Two different digits are randomly selected from the set $A = \{ 1,2,3,4,5,6,7 \}$.
Given that the product of the selected digits is an even number, what is the probability that the sum of these digits is also an even number?
A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 5 }$
E) $\frac { 1 } { 6 }$ 
Two different digits are randomly selected from the set $A = \{ 1,2,3,4,5,6,7 \}$.

Given that the product of the selected digits is an even number, what is the probability that the sum of these digits is also an even number?\\
A) $\frac { 1 } { 2 }$\\
B) $\frac { 1 } { 3 }$\\
C) $\frac { 1 } { 4 }$\\
D) $\frac { 1 } { 5 }$\\
E) $\frac { 1 } { 6 }$
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