Category: Probability

1. $P(A\cap B)=P(A)\cdot P(B)$, then $A$ and $B$ are

2. The probability of an impossible event is always

3. The joint probability of two independent events $A$ and $B$ is

4. Two mutually exclusive events

5. If $P(A \cap B) = 0.12$ and $P(A) = 0.3$, find $P(B)$ where $A$ and $B$ are independent

6. When two coins are tossed the probability of at least one head is

7. The classical probability method is applied to an experiment that

8. If the events $B_1, B_2, \cdots, B_k$ partition of this sample space $S$ that $P(B_i)\ne 0$ for $i = 1, 2, \cdots, k$)  then for any event $A$ of $S$

9. If $A$ and $B$ are mutually exclusive, then

10. Let $A_1, A_2, \cdots, A_n$ be $n$ events in an event space. If

\begin{align*}
P(A_iA_j) &= P(A_i)P(A_j) \quad for \quad i\ne j\\
P(A_iA_jA_k) &=P(A_i)P(A_j)P(A_k) \quad for \quad i\ne j \ne k\\
\vdots &\\
P(\cap_{i=1}^n A_i) &= \prod_{i=1}^n P(A_i)
\end{align*}

then the events are called

11. A standard deck of 52 cards is shuffled. What is the probability of choosing the 5 diamonds,

12. The probability can never be

13. Two events $A$ and $B$ are independent if and only if

14. Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability of drawing a 7 and a king in that order?

15. For two mutually exclusive events $A$ and $B$, $P (A) = 0.2$ and $P (B) = 0.4$, then $P(A \cup B)$ is