Range of Probability of an Event

Q.

Which of the following cannot be the probability of an event ?
(a) 1.5 (b) $\frac{3}{5}$ (c) 25 % (d) 0.3

Q.

What is the application of probability in real life

Q.

If P(A) denotes the probability of an event A, then
(a) P(A) < 0
(b) P(A) > 1
(c) $0\le P\left(A\right)\le 1$
(d) $-1\le P\left(A\right)\le 1$

Q.

State whether the given statement is true or false:

The probability of an event will be greater than 0 and less than 1.

1. True

2. False

Q.

What does a probability of $1$ mean?

Q.

Which of the following cannot be the probability of an event?
(a) $\frac{1}{3}$
(b) $0.1$
(c) $3\%$
(d) $\frac{17}{16}$

Q.

If $E$ is an event, then $P\left(E\right)+P(notE)=0$.

1. True
2. False

Q.

The probability of an event will be greater than 0 and less than 1.

1. False

2. True

Q.

Which of the following cannot be the probability of an event?
(a) $\frac{1}{3}$ (b) 0.3 (c) 33 (d) $\frac{7}{6}$

Q.

Seven chits are numbered $1$ to $7$. Three are drawn one by one with replacement. The probability that the least number on any selected chit is $5$ is

1. $1-{\left(\frac{2}{7}\right)}^4$

2. $4{\left(\frac{2}{7}\right)}^4$

3. ${\left(\frac{3}{7}\right)}^3$

4. None of these

Q.

Determine which number could not be used to represent the probability of the event.

Select all that apply.

1. $-1.5$, because probability values cannot be less than $0$.

2. $0.0002$, because probability values must be rounded to two decimal places.

3. $\frac{64}{25}$, because probability values cannot be greater than $1$.

4. $33.3\%$, this is because probability values cannot be greater than $1$.

5. $\frac{320}{1058}$, because probability values cannot be in fraction form.

Q.

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

(A) $\frac{2}{3}$

(B) $-1.5$

(C) $15\%$

(D) $0.7$

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

2. $-1.5$

3. $15\%$

4. $0.7$

Q.

What does unconditional probability mean?

Q.

The probability of India winning an India-Pakistan match could be

1. -0.05

2. 1.1

3. 50

4. 0.45

Q. Question 4
Which of the following cannot be the probability of an event?
(a) $\frac{2}{3}$
(b) -1.5
(c) 15%
(d) 0.7

Q. Which of the following cannot be the probability of occurence of an event?

(a) 0.2

(b) 0.4

(c) 0.8

(d) 1.6

Q.

IF P (E) deonotes the probability of an event E then
(a) P(E) < 0 (b) P(E) > 1 (c) $0\le P\left(E\right)\le 1$ (d) $-1\le P\left(E\right)\le 1$

Q.

What is the probability of obtaining the sum of interior angles of a triangle as ${180}^{\circ }$?

1. 0

2. 0.5

3. 1

4. 0.88

Q. Question 1 (i)
Complete the following statement for exhaustive events E and not E:
Probability of event E + Probability of event “not E” = ___.

Q. The probability of occurrence of event A is $\frac{2}{5}$ and the probability of occurrence of event B is $\frac{4}{7}$. If the probability of occurrence of A or B is $\frac{2}{3}$. What is the probability of occurrence of A and B?

1. 6/35
2. 17/105
3. 16/105
4. 1/35

Q. Ram walks 5 km from his home to school on a straight road daily. In the same way, there is shop 2 km away from his house. What is the probability of Ram being in between home and shop?

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

Q. If the probability of occurence of an event is p then the probability of non-happening of this event is [CBSE 2013C]

(a) (p − 1)
(b) (1 − p)
(c) p
(d) $\left(1-\frac{1}{p}\right)$

Q. Which of the following cannot be the probability of an event?
(i) $\frac{2}{3}$
(ii) $-1.5$
(iii) $15\%$
(iv) $0.7$

Q. If the probability of occurrence of an event is p then the probability of occurrence of its complementary event is
(a) p
(b) p − 1
(c) 1 − p
(d)$1-\frac{7}{p}$

Q. $\left(a\right)$ The probability that it will rain tomorrow is $0.85$. What is the probability that it will not rain tomorrow?
$\left(b\right)$ If the probability of winning a game is $0.6$, what is the probability of losing it?

1. $\left(a\right)0.17\left(b\right)0.3$
2. $\left(a\right)0.15\left(b\right)0.4$
   
3. $\left(a\right)0.13\left(b\right)0.5$
4. $\left(a\right)0.11\left(b\right)0.6$

Q.

Which of the following options could be the probability of an event?

1. 1.8889

2. 0.4565767

3. 0

4. -0.43554

Q.

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

Q.

The probability of India winning an India-Pakistan match could be

1. -0.05

2. 0.45

3. 1.1

4. 50

Q.

If A = {$w_1,w_2.....w_n$}, where $w_i$ are the outcomes, then P(A)= P($w_1$)+P($w_2$) ..... P($w_n$)

1. True

2. False

Q. The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?