csat-suneung 2013 Q11

csat-suneung · South-Korea · csat__math-science 3 marks Tree Diagrams Multi-Stage Sequential Process
There is a bag containing 4 white balls and 3 black balls.
Two balls are drawn simultaneously from the bag. If the two balls are of different colors, one coin is flipped 3 times. If the two balls are of the same color, one coin is flipped 2 times. What is the probability that the coin shows heads exactly 2 times in this trial? [3 points]
(1) $\frac { 9 } { 28 }$
(2) $\frac { 19 } { 56 }$
(3) $\frac { 5 } { 14 }$
(4) $\frac { 3 } { 8 }$
(5) $\frac { 11 } { 28 }$
There is a bag containing 4 white balls and 3 black balls.

Two balls are drawn simultaneously from the bag. If the two balls are of different colors, one coin is flipped 3 times. If the two balls are of the same color, one coin is flipped 2 times. What is the probability that the coin shows heads exactly 2 times in this trial? [3 points]\\
(1) $\frac { 9 } { 28 }$\\
(2) $\frac { 19 } { 56 }$\\
(3) $\frac { 5 } { 14 }$\\
(4) $\frac { 3 } { 8 }$\\
(5) $\frac { 11 } { 28 }$