gaokao 2019 Q6

gaokao · China · national-I-science Combinations & Selection Combinatorial Probability
6. In ancient Chinese classics, the ``Book of Changes'' uses ``hexagrams'' to describe the changes of all things. Each ``hexagram'' consists of 6 lines arranged from bottom to top, with lines divided into yang lines ``—'' and yin lines ``- -''. The figure shows a hexagram. If a hexagram is randomly selected from all hexagrams, the probability that it has exactly 3 yang lines is
A. $\frac { 5 } { 16 }$
B. $\frac { 11 } { 32 }$
C. $\frac { 21 } { 32 }$
D. $\frac { 11 } { 16 }$
In the ancient Chinese classic ``I Ching'', the concept of ``hexagrams'' is used to describe the changes of all things. They are divided into ``yang'' represented by ``—'' and ``yin'' represented by ``- -''. The figure on the right shows a hexagram. The probability that a randomly selected hexagram has exactly five yang lines is
6. In ancient Chinese classics, the ``Book of Changes'' uses ``hexagrams'' to describe the changes of all things. Each ``hexagram'' consists of 6 lines arranged from bottom to top, with lines divided into yang lines ``—'' and yin lines ``- -''. The figure shows a hexagram. If a hexagram is randomly selected from all hexagrams, the probability that it has exactly 3 yang lines is\\
A. $\frac { 5 } { 16 }$\\
B. $\frac { 11 } { 32 }$\\
C. $\frac { 21 } { 32 }$\\
D. $\frac { 11 } { 16 }$