Probability

Q.

Find the probability of selecting a vowel from word 'MATHEMATICS'

Q.

What is Bayes Theorem in ML?

Q.

What is the probability of getting a sum of 11 when a pair of dice is rolled?

1. 0

2. $\frac{1}{11}$

3. $\frac{1}{12}$

4. $\frac{1}{18}$

Q.

The probability that a leap year will have only $52$Sundays, is

1. $\frac{4}{7}$

2. $\frac{5}{7}$

3. $\frac{6}{7}$

4. $\frac{1}{7}$

Q. The probability of getting a prime number when a die is rolled is .

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

Q.

A card is selected at random from a standard 52 card deck. Assuming all cards are equally likely to be selected, what is the probability that a red king card is selected?

1. 1/26

2. 1/12

3. 1/24

4. 2

Q.

If an event cannot occur, then its probability is

1. $1$

2. $\frac{3}{4}$

3. $\frac{1}{2}$

4. $0$

Q.

A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is

(i) extremely patient

(ii) extremely kind or honest.

Which of the above values you prefer more? [4 MARKS]

Q.

Which One Of The Following Is A Fault-based Testing Technique?

1. PairWise Testing

2. Dataflow Testing

3. Path Testing

4. Mutation Testing

Q. When a coin is tossed thrice, what is the probability of getting two heads and one tail ?

1. $\frac{2}{8}$
2. $\frac{3}{8}$
3. $\frac{4}{8}$
4. $\frac{5}{8}$

Q. In a class of 100 students, 40 like mathematics, 50 like physics, and 80 like English. The number of students who like only two subjects is 60. How many students like all the three subjects?

1. 5
2. 12
3. 10
4. 8

Q.

In a class of 30 students, there are 17 girls and 13 boys. If a student is chosen at random, what is the probability of choosing a girl student?

1. 

2. 

3. 

4. 

Q. What is the probability of getting 3 heads when 3 unbiased coins are tossed simultaneously?

1. $\frac{2}{5}$
2. $\frac{1}{5}$
3. $\frac{1}{8}$
4. $\frac{3}{8}$

Q.

A single 6-sided die is rolled. What is the probability of rolling an even number?

1. 

2. 

3. 

4. 

Q.

1. A group of 80 people were asked if they liked different fruit, 38 said they liked apples, 42 like bananas, 10 of the people who liked cherries also liked bananas, 6 people like cherries and apples.

1. Venn Diagram showing this information.
2. How many people liked apples and bananas but did not like cherries ?
3. How many people liked none of the fruit ?
4. How many people liked just one of the fruit ?
5. How many people liked at least 2 of the fruits

Q. Two numbers are selected from the set of integers 1 to 25. what is the probability that the product of the numbers will be 36.

Q.

The probability of a student getting grade $A,B,C$ and $D$ are $0.2,0.3,0.15$ and $0.35$ respectively, Then the probability that the student gets at least $C$ grade is:

1. $0.65$
2. $0.15$
3. $0.5$
4. $0.35$

Q. What is the probability that there are 53 Sundays in a leap year?

1. $\frac{1}{6}$
2. $\frac{2}{7}$
3. $\frac{3}{8}$
4. $\frac{4}{9}$

Q.

Getting '0' when a die is rolled is an impossible event.

1. True

2. False

Q.

One card is drawn from a well - shuffled deck of 52 cards. Calculate the probability of getting an ace.

1. 

2. 

3. 

4. 

Q.

Probability of an occurrence of an event is defined as

1. Number of trials in which the event not happened divided by the total number of trials.

2. The total number of trials multiplied by Number of trials in which the event happened

3. Number of trials in which the event happened divided by the total number of trials.

4. The total number of trials divided by Number of trials in which the event happened

Q. The sum of probabilities of two complementary events is

1. -1
2. 0.5
3. 1
4. 1.2

Q. The likelihood that a particular event will occur is called

1. Trial
2. Probability
3. Outcome

Q.

An experiment of tossing a coin 1000 times is performed. What is the probability that the occurrence of a head is greater than 1000 times?

1. 0

2. 1

3. -1

4. 2

Q.

The probabilities of a student getting grade A, B, C and D are 0.2, 0.3, 0.15 and 0.35 respectively. Then the probability that a student gets at least C grade is:

1. 0.65

2. 0.15

3. 0.50

4. 0.35

Q. A fair coin is tossed three times. What is the probability of getting two heads and one tail in any order?

1. $\frac{5}{8}$
2. $\frac{4}{8}$
3. $\frac{3}{8}$
4. $\frac{5}{9}$

Q.

Which of the following is/are a sure event?

1. To get a number < 1, when a die is thrown

2. To get a number > 0, when a die is thrown

3. To get a number $\ge$ 3, when a die is thrown

4. To get a number $\le$ 4, when a die is thrown

Q. The probability of getting at least one tail, when four coins are tossed is .

1. $\frac{15}{16}$
2. $\frac{1}{16}$
3. $\frac{1}{4}$
4. $\frac{3}{4}$

Q.

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is a picture card excluding the clown card.

1. 

2. 

3. 

4. 

Q. The number of outcomes for prime numbers on rolling a die is

1. 0
2. 1
3. 2
4. 3