Certain Event and Impossible Event

Q.

What is favorable outcomes and probability?

Q.

In mathematics exam the probability of Aayushi to score 100 out of 100 is 1/101

How is that possible?

Q.

The probability of guessing the correct answer to a certain question is $\frac{p}{12}$. If the probability of not guessing the correct answer to the same question is $\frac{3}{4}$, then find the value of p.

Q. Desirable outcome is always the same as the favorable outcome.

1. True
2. False

Q. What is the probability of getting 0 on a dice?

1. 0.4
2. 0.5
3. \N
4. 1

Q.

In a single throw of a die, find the probability of getting a number:

i) greater than 2

ii) less than or equal to 2

iii) not greater than 2

1. 

2. 

3. 

4. 

5. 

6. 

Q.

A man speaks the truth $6$ out of $9$ times. What is the probability that he would not narrate an incident correctly?

Q. The condition for the impossible event is ____

1. probability of occuring the event is to be 0.5
2. probability of occuring the event is to be 0.25
3. probability of occuring the event is to be 1
4. probability of occuring the event is to be 0

Q.

In a single throw of a die, find the probability of getting:

i) 7

ii) a number less than 7

1. 0, 1

2. 2, 1

3. 2, 0

4. 2, 1/2

5. 0, 1/2

Q. In a single throw of a die, the probability of getting a number greater than or equal to 1 is __.

1. 
   0
2. 
   0.50
3. 
   0.75
4. 
   1

Q. In a single throw of a die, probability of getting a multiple of '1' is ___.

1. 0.50
2. 0
3. 1
4. 0.1

Q. Which of the following could be the probability of an event?

1. 
   $\frac{3}{2}$
2. -5
3. $\frac{8}{7}$
4. 1

Q. Probability of a sure event is 1.

1. True
2. False

Q.

What is the probability of getting a sum of 13 when rolling a pair of dice?

1. 0

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

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

4. $\frac{1}{13}$

Q. Which of the following events are certain events with respect to rolling a dice once ?

1. The number is a multiple of '1'.
2. The number is either even or odd.
3. The number is not greater than 6.
4. The number is greater than or equal to '1'.

Q.

A die is thrown once. What is the probability that the

1. ¹/₂, ²/₃

2. ¹/₂ , ¹/₃

3. ¹/₂ , ¹/₈

4. ²/₃, ²/₃

5. ²/₃, 1

Q.

The probability of getting an even number, when a die is thrown once, is:

1. ¹/₂

2. ⁵/₆

3. ¹/₃

4. ¹/₆

Q. In a single throw of a die, probability of getting a multiple of '1' is ___.

1. 0
2. 0.5
3. 1
4. 0.1

Q. Which of the following could be the probability of an event?

1. -5
2. 
   $\frac{3}{2}$
3. $\frac{8}{7}$
4. 1

Q. What is the probability of getting 0 on a dice?

1. 0.4
2. 1
3. 0.5
4. 0

Q. Classify the following into impossible and sure events.
(i) The sun rises in the east.
(ii) A die numbered $1$ to $6$ showing a multiple of $10$.
(iii) A day in February having $29$ hours.
(iv) An even number leaving no remainder when divided by $2$.

Q. The probability that the number on the top of a die is greater than 3 or a prime number is:

1. 0.33
2. 0.5
3. 0.67
4. 0.83

Q.

3 people A, B and C are sitting in a circular fashion. Find the probability that A and B do not sit together.

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

2. 0

3. 1

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

Q. Which of the following statements are true for the value of probability of an event ?

1. An impossible event has a probability equal to '0'
2. A sure or certain event has a probability equal to '1'
3. Events that are equally likely to occur have a probability equal to '0.50'
4. Events that are likely to occur have a probability greater than '0.50'

Q. The probability of getting neither a head nor a tail in a single throw of a coin is ____.

1. 1
2. 0
3. 1/2
4. 0.99