Range and Sum of Probabilities

Q.

The probability expressed as a percentage of a particular occurrence can never be
(a) less than $100$
(b) less than $0$
(c) greater than $1$
(d) anything but a whole number

Q.

The probability of an event occurring is 0.65. What is the probability of the event not occurring?

1. 0.35

2. 0.375

3. 0.65

4. 1

Q.

A bag contains $6$ red, $4$ white, and $8$ blue balls. If three bals are drawn at random, then the probability that $2$ are white and $1$is red is

1. $\frac{5}{204}$

2. $\frac{7}{102}$

3. $\frac{3}{68}$

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

Q.

Which of the following can be the probability of an event?

1. 21/20

2. -0.5

3. 0.001

4. 3

Q.

What is the minimum possible value of the probability of an event?

__

Q.

If the probability of winning a game is 0.9 then, the probability of losing the game is

1. 0.2

2. 0.1

3. 1

4. 0.9

Q. The probability of happening an event is 4/3. What does it conclude?

Q.

A box contains $12$balls out of which$x$are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If $6$more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find$x$.

Q. What is the probability that two friends have different birthdays in a normal year?

1. $\frac{1}{365}$
2. $\frac{2}{365}$
3. $\frac{5}{365}$
4. $\frac{364}{365}$

Q.

Which of the following cannot be the probability of an event?

1. 0.3
2. $\frac{3}{5}$
3. 0.25
4. 1.5

Q. What is the probability that two friends have different birthdays in a normal year?

1. $\frac{1}{365}$
2. $\frac{2}{365}$
3. $\frac{5}{365}$
4. $\frac{364}{365}$

Q.

In an event there are two possible outcomes, the probability of occurrence of one outcome is 1. The probability of occurrence of the other outcome is:

1. 0

2. 1

3. 1/2

4. 1/4

Q. Events $E_1,E_2,E_3$ are the possible outcomes of an experiment and their probabilities are recorded. Mark the possible correct answer.

1. $P\left(E_1\right)$ = 0.1
   $P\left(E_2\right)$ = 0.4
   $P\left(E_3\right)$ = 0.5
2. $P\left(E_1\right)$ = 0.4
   $P\left(E_2\right)$ = 0.2
   $P\left(E_3\right)=0.3$
3. $P\left(E_1\right)$ = 0.6
   $P\left(E_2\right)$ = - 0.3
   $P\left(E_3\right)$ = 0.7
4. $P\left(E_1\right)$ = 0.3
   $P\left(E_2\right)$ = 0.4
   $P\left(E_3\right)$ = 0.4

Q.

If the integers m and n are chosen at random between 1 and 100, then the probability that a number of the form $7^m+7^n$ is divisible by 5 equals.

1. 
2. 
3. 
4. 

Q. The probability of an event always lies between ______.

1. 0 and 1
2. 0 and 2
3. -1 and 1
4. None of the above

Q.

Which of the following can be the probability of an event?

1. 21/20

2. -0.5

3. 3

4. 0.001

Q.

Out of 100 people, 40 like rock music and 60 don't. The probability of picking a person who likes rock music will be?

1. 0.4
2. 0.5
3. 0.3
4. 0.7

Q. It is said that:
The probability of an event always lies between 0 and 1.
But probability of an event can be also 0. (and the word between means the number is 0.000 something to a number less than 1)

Q. What is the value of P (Event A occurs) + P (Event A does not occur)?

1. 0
2. 1
3. 1/2
4. insufficient data

Q.

Which of the following cannot be the probability of an event?

1. 0

2. 1

3. -1/3

4. 0.4

Q. The value of probability is always _______.

1. less than or equal to 1
2. less than 2
3. less than 0
4. less than -1

Q. If E1, E2, E3, ....., En are n elemantary outcomes associated to a random experiment, then P(E1) + P(E2) + P(E3) + ........... + P(En) = ______________.

1. 0
2. 1
3. 2
4. none of the above

Q.

Which of the following cannot be the probability of an event?

1. 1.1

2. 0

3. 1

4. 0.1

Q. In a cricket match, a batsman hits a boundary 5 times every 30 balls he plays. Find the probability that he did not hit a boundary.

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