Practice Probability Multiple Choice Questions Quiz-6 - MCQGeeks.com

Q.1

Three unbiased coins are tossed. What is the probability of getting at most two heads?

$$\frac{{3}}{{4}}$$
$$\frac{{1}}{{4}}$$
$$\frac{{3}}{{8}}$$
$$\frac{{7}}{{8}}$$

Q.2

Three unbiased coins are tossed. What is the probability of getting at least 2 heads?

$$\frac{1}{4}$$
$$\frac{1}{2}$$
$$\frac{1}{3}$$
$$\frac{1}{8}$$

Q.3

In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11?

$$\frac{1}{4}$$
$$\frac{1}{6}$$
$$\frac{7}{12}$$
$$\frac{5}{36}$$

Q.4

The variance of binomial distribution is always

Less than mean
Equal to mean
Greater than mean
Equal to standard deviation

Q.5

In which approach to probability the outcomes are equally likely to occur?

Classical Probability
Subjective Probability
Relative Frequency
Independent

Q.6

If the occurrence of one event means that another cannot happen, then the events are

Bayesian
Empirical
Independent
Mutually Exclusive

Q.7

A listing of the possible outcomes of an experiment and their corresponding probability is called

Bayesian table
Random Variable
Contingency table
Probability distribution

Q.8

Which of the following is not a correct statement about a probability.

A value near 0 means that the event is not likely to occur/happens
It can be reported as a decimal or a fraction
It must have a value between 0 and 1
It is the collection of several experiments

Q.9

The successive trials are with replacement in

Geometric distribution
Binomial distribution
Hypergeometric distribution
None of above

Q.10

The mean, median and mode for binomial distribution will be equal when

p = 0.5
p < 0.5
p > 0.5
p = 1

Q.11

The mean of binomial distribution is

npq
np
$$\sqrt {{\text{npq}}} $$
$$\sqrt {{\text{np}}} $$

Q.12

Each trial in Binomial distribution has

One Outcome
Two Outcome
Three Outcome
Four Outcome

Q.13

A bag contains 6 white and 4 black balls. Two balls are drawn at random. Find the probability that they are of same colour.

1
$$\frac{{2}}{{15}}$$
3
$$\frac{{7}}{{15}}$$

Q.14

Which of the following is not an example of a discrete probability distribution?

The number of bathrooms in a house
The sale or purchase price of a house
The number of bedrooms in a house
Whether or not a home has a swimming pool in it

Q.15

There are 12 boys and 8 girls in a tuition centre. If three of them scored first mark, then what is the probability that one of the three is a girl and the other two are boys?

$$\frac{{14}}{{75}}$$
$$\frac{{22}}{{55}}$$
$$\frac{{44}}{{95}}$$
None of these

Q.16

In a throw of coin what is the probability of getting head.

0
1
2
$$\frac{{1}}{{2}}$$

Q.17

In a throw of dice what is the probability of getting number greater than 5

$$\frac{{1}}{{2}}$$
$$\frac{{1}}{{4}}$$
$$\frac{{1}}{{6}}$$
$$\frac{{1}}{{8}}$$

Q.18

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?

$$\frac{{2}}{{3}}$$
$$\frac{{3}}{{7}}$$
$$\frac{{8}}{{21}}$$
$$\frac{{9}}{{22}}$$

Q.19

Which of the following is not a condition of the binomial distribution?

trials must be independent
must have at least 3 trials
only 2 possible outcomes
have constant probability of success

Q.20

Hypergeometric distribution has parameters

1
2
3
4

Q.21

Which of the following is not the property of binomial distribution

N is fixed
Has two outcomes
Trials are independent
Probability of success varies from trial to trial

Q.22

In a Poisson probability distribution

It always contains a contingency table
The number of trials is always less than 5
The probability of success is always greater than 5
The mean and variance of the distribution are same (equal)

Q.23

The collection of one or more outcomes from an experiment is called

Event
Z-Value
Probability
Random Variable

Q.24

The probability of success changes from trial to trial in

Sampling distribution
Binomial distribution
Hypergeometric distribution
Geometric distribution

Q.25

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?

$$\frac{{2}}{{3}}$$
$$\frac{{3}}{{7}}$$
$$\frac{{8}}{{21}}$$
$$\frac{{9}}{{22}}$$

Q.26

Two dice are thrown simultaneously. What is the probability of getting the sum of the face number is at least 10?

$$\frac{{1}}{{3}}$$
$$\frac{{1}}{{6}}$$
$$\frac{{2}}{{3}}$$
$$\frac{{5}}{{6}}$$

Q.27

A box contains 6 bottles of variety 1 drink, 3 bottles of variety 2 drink and 4 bottles of variety 3 drink. Three bottles of them are drawn at random, what is the probability that the three are not of the same variety.

$$\frac{{632}}{{713}}$$
$$\frac{{752}}{{833}}$$
$$\frac{{833}}{{858}}$$
None of these

Q.28

In a throw of coin what is the probability of getting tails.

0
1
2
$$\frac{{1}}{{2}}$$

Q.29

A box contains 3 white, 4 red and 7 blue erasers. If five erasers are taken at random then the probability that all the five are blue color is:

$$\frac{{2}}{{126}}$$
$$\frac{{3}}{{286}}$$
$$\frac{{12}}{{121}}$$
$$\frac{{13}}{{211}}$$

Q.30

The distribution function F(X) is represented by

P(X)
P(X = x)
P(X > x)
P(X ≤ x)

0 h : 0 m : 1 s