MCQs Probability Statistics- 5

This Quiz contains MCQS Probability Statistics, events, experiments, mutually exclusive events, collectively exhaustive events, sure events, impossible events, addition and multiplication laws of probability, etc. Let us start the Online MCQs Probability Statistics Quiz.

Online MCQs Probability Statistics

• Two events $A$ and $B$ are independent if and only if
• If $A$ and $B$ are mutually exclusive, then
• 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 $S$
• 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
• The classical probability method is applied to an experiment that
• The joint probability of two independent events $A$ and $B$ is
• Two mutually exclusive events
• The probability can never be
• The probability of an impossible event is always
• If $P(A \cap B) = 0.12$ and $P(A) = 0.3$, find $P(B)$ where $A$ and $B$ are independent
• For two mutually exclusive events $A$ and $B$, $P (A) = 0.2$ and $P (B) = 0.4$, then $P(A \cup B)$ is
• A standard deck of 52 cards is shuffled. What is the probability of choosing the 5 diamonds,
• When two coins are tossed the probability of at least one head is
• 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?
• $P(A\cap B)=P(A)\cdot P(B)$, then $A$ and $B$ are
• To calculate posterior probability, a data professional can use _ to update the prior probability based on the data.
• When three dice are rolled, the sample space consists of
• An event that contains the finite number point, the sample space is called
• The total area under the curve in the probability of density function is?
• If $A$ denotes the males of a town and $B$ denotes the females of that town, then $A$ and $B$ are ——-?

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