Basic Probability Examples Quiz

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If a certain event has a probability of 0.6, what is the probability of the event not happening?

0.5

0.3

0.6

0.4 (correct)

What is the formula to calculate variance?

Variance = E(X) - (Σ X2 × P(X))

Variance = E(X) + (X2 × P(X))

Variance = Σ (X2 × P(X)) - (E(X))2 (correct)

Variance = (E(X))2 - Σ (X2 × P(X))

What does the expected value represent in probability theory?

The most likely outcome

The middle value of a probability distribution (correct)

The maximum possible outcome

The lowest possible outcome

If a fair coin is tossed, what is the probability of getting a head?

1/2 Signup and view all the answers

What is the probability of selecting a male student from the given school?

0.49 Signup and view all the answers

When rolling a fair die, what is the probability of rolling a number greater than 3?

1/3 Signup and view all the answers

In the bag of numbered balls example, what is the probability of drawing an odd-numbered ball?

2/3 Signup and view all the answers

What is the probability of an impossible event occurring?

0 Signup and view all the answers

What is the probability that at least one highly valued accountant is chosen when 4 accounts are selected?

0.35 Signup and view all the answers

In the merchant's file with 20 accounts, how many delinquent accounts are present?

6 Signup and view all the answers

What is the probability of finding exactly 2 delinquent accounts when 5 accounts are randomly selected for examination?

0.088 Signup and view all the answers

List the elements of relation R1 on set A = {1, 2, 3, 4} where R1={(x, y): x is divisible by y}.

{(1,1), (2,1), (2,2), (3,1), (3,3), (4,1), (4,2), (4,4)} Signup and view all the answers

In the relation S on set A = {1, 2, 3, 4}, what ordered pairs are included if S={(x, y): x + y is even}?

{(1,1), (2,2), (3,3), (4,4)} Signup and view all the answers

Is the relation 'R' defined on set A = {1, 2, 3, 4} reflexive?

No Signup and view all the answers

If a student plays either football or basketball, what is the probability of this event?

$\frac{4}{5}$ Signup and view all the answers

If 3 men are picked at random from a company of 20, where 5 are graduates, what is the probability that at least one of them is a graduate?

$\frac{137}{228}$ Signup and view all the answers

An urn contains 7 red and 4 blue balls. If a ball is drawn and replaced, then another ball is drawn, what is the probability of getting one ball of each color?

$\frac{56}{121}$ Signup and view all the answers

One bag contains 4 white and 2 black balls, while another contains 3 white and 5 black balls. If a ball is drawn from each bag, what is the probability that one ball is white and the other is black?

$\frac{13}{24}$ Signup and view all the answers

A bag contains 10 books, of which 4 are defective, and another bag contains 7 books, of which 2 are defective. If a book is drawn at random from each bag, what is the probability that both books are non-defective?

$\frac{3}{7}$ Signup and view all the answers

In a group of 10 people consisting of 3 economists, 4 engineers, 2 statisticians and 1 doctor, what is the probability that a committee of 4 formed from this group has at least one economist?

$\frac{5}{6}$ Signup and view all the answers

What is the probability that an examinee selected from the group is a MBA degree holder?

\frac{3}{8} Signup and view all the answers

What is the probability that an examinee with a score above 60 has a B.Sc degree?

\frac{1}{2} Signup and view all the answers

What is the probability that an examinee with a B.A degree has a score below 50?

\frac{3}{4} Signup and view all the answers

What is the probability that an examinee with a B.Sc degree has a score above 60?

\frac{3}{13} Signup and view all the answers

What is the probability that a manager reaches a wrong decision?

0.51145 Signup and view all the answers