kyotsu-test 2012 QCourse1-II-Q1

kyotsu-test · Japan · eju-math__session2 Discrete Probability Distributions Probability Computation for Compound or Multi-Stage Random Experiments

There are two boxes, A and B.
In box A, there are three cards on which the number 0 is written, two cards on which the number 2 is written, and one card on which the number 3 is written.
In box B, there are two cards on which the number 1 is written, and three cards on which the number 2 is written.
Take two cards together from box A and one card from box B. Denote the product of the numbers on the three cards by $X$.
The total number of values which $X$ can take is A. The maximum value which $X$ can take is $\mathbf{BC}$. The minimum value which $X$ can take is D.
The probability that $X = \mathrm{BC}$ is $\frac{\mathbf{E}}{\mathrm{F}}$, and the probability that $X = \square\mathrm{D}$ is $\frac{\mathbf{H}}{\mathbf{I}}$.

There are two boxes, A and B.

In box A, there are three cards on which the number 0 is written, two cards on which the number 2 is written, and one card on which the number 3 is written.

In box B, there are two cards on which the number 1 is written, and three cards on which the number 2 is written.

Take two cards together from box A and one card from box B. Denote the product of the numbers on the three cards by $X$.

The total number of values which $X$ can take is A. The maximum value which $X$ can take is $\mathbf{BC}$. The minimum value which $X$ can take is D.

The probability that $X = \mathrm{BC}$ is $\frac{\mathbf{E}}{\mathrm{F}}$, and the probability that $X = \square\mathrm{D}$ is $\frac{\mathbf{H}}{\mathbf{I}}$.

Paper Questions

QCourse1-I-Q1 QCourse1-I-Q2 QCourse1-II-Q1 QCourse1-II-Q2 QCourse1-III QCourse1-IV QCourse2-I-Q1 QCourse2-I-Q2 QCourse2-II QCourse2-III QCourse2-IV-Q1 QCourse2-IV-Q2