This set of Aptitude Questions and Answers (MCQs) focuses on “Probability – Set 3”.
1. What is the sum of the probability of an event and its complementary event occurring together?
a) 0
b) 1 / 2
c) 1
d) 1 / 4
View Answer
Explanation: Complementary of an event is also known as non – event or event not occurring. So, the sum of the probability of an event and non – event occurring is always equal to one.
2. In which type of events the rule of multiplication of probability is applicable?
a) Independent
b) Dependent
c) Empirical
d) Exhaustive
View Answer
Explanation: The rule of multiplication of probability is applicable in independent events which are not related to find their joint probability.
3. Which of the following is not an example of discrete probability distribution?
a) The number of persons in a room
b) The weight of a person
c) The number of rooms in a house
d) Is it going to rain tonight
View Answer
Explanation: The weight of a person is not a discrete value as it can go on to a number of places after the decimal.
4. Which of the following is a correct option regarding the Poisson distribution?
a) The probability of success is always less than 8
b) It always contains a contingency table
c) The number of trials is always less than 10
d) Mean and variance of the distribution are equal
View Answer
Explanation: The mean and variance in Poisson distribution are always the same. If A is the average number of successful outcomes in a Poisson distribution, then the mean and variance of the distribution will become equal to A. As in Poisson distribution only single parameter is required for estimating the probability.
5. Which of the following is not a condition of the binomial distribution?
a) Must have at least 4 trials
b) Only 2 possible outcomes
c) Have a constant probability of success
d) Trials must be independent
View Answer
Explanation: There is no condition like trials must be at least 4 for binomial distribution. The only conditions for a binomial distribution is that the number of outcomes of a particular event must be only two like in a coin its only either a head or a tail and nothing else.
6. The probability of an event occurring is 0.39, then what will be the probability of this event not occurring?
a) 0.2
b) 0.6
c) 0.61
d) 1.6
View Answer
Explanation: Given,
P(A) = 0.39
P (not A) = 1 – 0.39
= 0.61
7. What are the total number of outcomes when five coins are tossed together?
a) 56
b) 64
c) 32
d) 16
View Answer
Explanation: Given,
n = 5
Total number of outcomes = 25
= 32
8. Which of the following terms relates to the sum total of all the outcomes in probability?
a) Exhaustive event
b) Empirical event
c) Independent event
d) Dependent event
View Answer
Explanation: Exhaustive event means the sum total of all the outcomes in probability. For example, when we roll a die once then the collection of all the possible events i.e., 1, 2, 3, 4, 5, 6 are known as exhaustive events.
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