taiwan-gsat 2025 Q4

taiwan-gsat · Other · gsat__math-b 5 marks Binomial Distribution Contextual Probability Requiring Binomial Modeling Setup
A store launches a lottery activity offering four different styles of fruit figurines as prizes. Each lottery draw yields 1 figurine, and each style has an equal probability of being drawn. A person decides to draw 4 times. What is the probability that he draws exactly 3 different styles of figurines?
(1) $\frac { 5 } { 16 }$
(2) $\frac { 3 } { 8 }$
(3) $\frac { 1 } { 2 }$
(4) $\frac { 9 } { 16 }$
(5) $\frac { 5 } { 8 }$
A store launches a lottery activity offering four different styles of fruit figurines as prizes. Each lottery draw yields 1 figurine, and each style has an equal probability of being drawn. A person decides to draw 4 times. What is the probability that he draws exactly 3 different styles of figurines?\\
(1) $\frac { 5 } { 16 }$\\
(2) $\frac { 3 } { 8 }$\\
(3) $\frac { 1 } { 2 }$\\
(4) $\frac { 9 } { 16 }$\\
(5) $\frac { 5 } { 8 }$