kyotsu-test 2015 QCourse1-I-Q2

kyotsu-test · Japan · eju-math__session2 Probability Definitions Finite Equally-Likely Probability Computation

Let us simultaneously throw three dice which are different in size and denote the number on the large, medium and small dice by $x , y$ and $z$, respectively.
Let $A$ be the event where $x = y = z$; let $B$ be the event where $x + y + z = 6$; let $C$ be the event where $x + y = z$.
(1) The numbers of outcomes in event $A$ is $\mathbf { J }$, in event $B$ is $\mathbf { K } \mathbf { L }$, and in event $C$ is $\mathbf { M N }$.
(2) The numbers of outcomes in event $A \cap B$ is $\mathbf { O }$, in event $B \cap C$ is $\mathbf { P }$, and in event $C \cap A$ is $\mathbf { Q }$.
(3) The probability of event $B \cup C$ is
$$P ( B \cup C ) = \frac { \mathbf { R S } } { \mathbf { T U V } } .$$

Let us simultaneously throw three dice which are different in size and denote the number on the large, medium and small dice by $x , y$ and $z$, respectively.

Let $A$ be the event where $x = y = z$;\\
let $B$ be the event where $x + y + z = 6$;\\
let $C$ be the event where $x + y = z$.

(1) The numbers of outcomes in event $A$ is $\mathbf { J }$, in event $B$ is $\mathbf { K } \mathbf { L }$, and in event $C$ is $\mathbf { M N }$.

(2) The numbers of outcomes in event $A \cap B$ is $\mathbf { O }$, in event $B \cap C$ is $\mathbf { P }$, and in event $C \cap A$ is $\mathbf { Q }$.

(3) The probability of event $B \cup C$ is

$$P ( B \cup C ) = \frac { \mathbf { R S } } { \mathbf { T U V } } .$$

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-Q1 QCourse2-II-Q2 QCourse2-III QCourse2-IV