Free Probability MCQs with Answers

• A. Equally likely events
• B. Exhaustive events
• C. Mutually Exhaustive events
• D. dependent events

Explanation: Events with equal chances of occurring are called equally likely events.

• A. As any other
• B. both event occurs
• C. One occurs
• D. not both occurs

Explanation: Equally likely events have the same probability as one another, so each occurs with the same chance as any other event under…

• A. Sample point
• B. Set
• C. Event
• D. Space

Explanation: An event is any subset of the sample space, including a single outcome or several outcomes.

• A. Probability
• B. Event
• C. Random Variable
• D. Z-Value
• E. Random Experiment

Explanation: An event is a collection of one or more outcomes from a random experiment.

• A. Independent events
• B. Mutually Exclusive events
• C. Bayesian
• D. Empirical

Explanation: The special addition rule applies when events are mutually exclusive, so they cannot occur together and their probabilities are added…

• A. The likelihood of two events happening together
• B. The likelihood of two events happening given that another event has already ha
• C. Based on two mutually exclusive events
• D. Also called Prior probability

Explanation: Joint probability measures the chance that two events occur together, written as P(A∩B).

• A. 4/52
• B. 1/26
• C. 8/52
• D. 1/169

Explanation: There are four fives and four sevens, giving 8 favourable cards out of 52.

• A. Classical Probability
• B. Subjective Probability
• C. Relative Frequency
• D. Independent

Explanation: Classical probability assumes that all outcomes are equally likely, such as the outcomes of a fair die.

• A. 26/52=1/2
• B. 13/52
• C. 20/52
• D. 12/52

Explanation: A standard deck has 13 diamonds and 13 clubs, and these suits do not overlap.

• A. Equal sets
• B. Over lapping sets
• C. Non- overlapping sets
• D. None of these

Explanation: A person cannot be both male and female under the categories stated, so the two sets have no common elements.

• A. 0.05
• B. 0.75
• C. 0.8
• D. 0.45

Explanation: Using P(B|A)=P(A∩B)/P(A), substitute 0.25=0.2/P(A). Rearranging gives P(A)=0.2/0.25=0.8.

• A. 1/2
• B. 1
• C. 2/3
• D. 1/3

Explanation: Since the two possible outcomes exhaust the probability, P(H)+P(T)=1. Substituting P(T)=2P(H) gives 3P(H)=1, so P(H)=1/3.

• A. 1/4
• B. 2/4
• C. 3/4
• D. 4/4

Explanation: With two balanced coins, the equally likely outcomes are HH, HT, TH and TT.

• A. 13/52
• B. 1/2
• C. 4/52
• D. 0

Explanation: A standard deck has 13 diamond cards among 52 cards. Therefore, the probability of drawing a diamond is 13/52, which simplifies to 1/4.

• A. Four
• B. Three
• C. Two
• D. One

Explanation: A probability experiment has two key features: its possible outcomes are specified, but the particular outcome cannot be predicted with…

• A. Random
• B. Raw data
• C. Introduce
• D. Specified

Explanation: An experiment whose outcome is uncertain and which can be repeated under similar conditions is called a random experiment.

• A. Events
• B. Subset
• C. Piont
• D. Distinct

Explanation: A sample space is the set or list of all possible sample points, or outcomes, of an experiment.

• A. 6 outcomes
• B. 24 outcomes
• C. 216 outcomes
• D. Non of these

Explanation: Each of the three dice has 6 possible outcomes, and the choices combine independently.

• A. Two
• B. Three
• C. Four
• D. One

Explanation: A sure event always occurs, so its probability is 1. The word “save” is evidently intended to be “sure.”

• A. 0 and 1
• B. 0,1,2,............9
• C. 1,2,3....10
• D. None of these

Explanation: Basic random digits are the ten digits from 0 through 9, commonly used to construct random numbers for sampling and simulation.