10. [0.75/1 Points]
DETAILS
MY NOTES
MENDSTAT15 4.4.019.
PREVIOUS ANSWERS
ASK YOUR TEACHER
PRACT
An experiment consists of tossing a single die and observing the number of dots that show on the upper face. Use events \( A, B \), and \( C \), defined as follows, to answer the question.
A: observe a number less than 5
B: observe a number less than or equal to 2
C: observe a number greater than 4
Refer to the following probabilities.
\[
\begin{array}{l}
P(S)=1 \\
P(A \mid B)=1 \\
P(B)=\frac{1}{3} \\
P(A \cap B \cap C)=0 \\
P(A \cap B)=\frac{1}{3} \\
P(A \cap C)=0 \\
P(B \cap C)=0 \\
\cdots \text { Select- } \quad C)=1 \\
P(A \cap B)=0 \quad \perp C)=\frac{2}{3} \\
P(A \cup B)=0 \quad
\end{array}
\]
Are
Sinc \( P(A)=P(B) \quad \) independent?
\( P(B \mid A) \neq P(A) \)
Are \( \quad P(A \mid B) \neq P(A) \quad \) mutually exclusive?
Sinc \( P(A) \neq P(B) \quad, \quad A \) and \( B \) are not ertually exclusive.
\( \qquad \)
\( \checkmark P(B \mid A)=P(A) \)
\( \% \) \( A \) and \( B \) are not © independent.
\( P(A \mid B)=P(A) \)
\( P(A \cup B) \neq 0 \)
SUBMIT ANSWER
PREVIOUS ANSWERS
ASK YOUR TEACHER
PRAC