What is the probability of the number of one head when two fair coins are tossed?

• A) 2/4
• B) 1/4
• C)
• D)

Let A and B be the mutually exclusive events such that P(A) = 1/5 and P(B) = 3/5, then P(A U B) = ?

• A) 1/5
• B) 4/5
• C) 2/5
• D) 3/5

P(A)= 1/6 and P(B)= 3/6, then the probability of happening of both events A and B will be?

• A) 4/6
• B) 8/6
• C) 5/6
• D) 7/6

$P(A'|B) = 1 - P(A|B)$

• A) False
• B) True
• C)
• D)

If B is a subset of A then $$P(A|B) = 1$$ .

• A) Flase
• B) True
• C)
• D)

Among 20 people, 15 either swim or jog or both. If 5 swim and 6 swim and jog, how many jog ?

• A) 46
• B) 16
• C) 24
• D) 6

An urn contains six red and nine blue balls. What is the probability that a ball chosen from the urn is blue?

• A) 9/15
• B) 15/9
• C) 15/6
• D) 6/15

There are 5 girls students and 20 boys students in a class. How many students are there in total ?

• A) 25
• B) 15
• C) 4
• D) 100

Suppose that A and B are events in a sample space S. If A and B are disjoint, could P(A)=0.6 and P(B)=0.5?

• A) No
• B) Yes
• C)
• D)

[Math Processing Error]$P(A|B) = \frac{{P(A \cap B)}}{{P(B)}},\,\,\,\,\,where\,\,.............$

• A) [Math Processing Error]$P(B) > 0$
• B) [Math Processing Error]$P(B) < 0$
• C) [Math Processing Error]$P(B) > 1$
• D) [Math Processing Error]$P(B) = 0$

If A is a subset of B then [Math Processing Error]$$P(A|B) = \frac{{P(A)}}{{P(B)}}$$ .

• A) False
• B) True
• C)
• D)

If one event can occur in {n_1} ways, a second event can occur in {n_2} ways, a third event can occur in {n_3} ways, how ways all of the events can occur in the order?

• A) {n_1} + {n_2} + {n_3}
• B) {n_1}.{n_2}.{n_3}
• C)
• D)

If one event can occur in {n_1} ways, a second event can occur in {n_2} ways, a third event can occur in {n_3} ways, how ways in which exactly one of the events can occur?

• A) {n_1}.{n_2}.{n_3}
• B) {n_1} + {n_2} + {n_3}
• C)
• D)

If A and B are finite sets then \[n(A \cup \,B) = \_\_\_\_\_\_.\]

• A) \[n(A) + n(B) - n(A \cap \,B)\]
• B) \[n(A) + n(B) + n(A \cap \,B)\]
• C) \[n(A) + n(B)\]
• D) \[n(A) + n(B) - n(A \cup \,B)\]

There are three bus lines between A and B, and two bus lines between B and C. Find the number of ways a person can travel round trip by bus from A to C by way of B ?

• A) 36
• B) 6
• C) 5
• D) 10

If there are 5 different optional courses in English and 3 different optional courses in Maths. Choices for a student who wants to take one optional course _____?

• A) 7
• B) 9
• C) 8
• D) 5

A student can choose a computer project from one of the two lists. The two lists contain 12 and 18 possible projects, respectively. How many possible projects are there to choose from ?

• A) 30
• B) 18
• C) 216
• D) 12

The last step of describing algorithms formally is?

• A) An end statement.
• B) The output variable names.
• C) The input variable names.
• D) The name of the algorithm.