Range of Probability

Q.

Probability of an event E, is given by P(E) $=\frac{NumberofoutcomesfavourabletoE\left(m\right)}{Numberofallpossibleoutcomesoftheexperiment\left(n\right)}$
Which of the following options correctly explains the relationship between m and n?

1. $m=n>0$

2. $m\ge 0,n>0,m\le n$

3. $m\ge 0\ge n$

4. $0\ge m\ge n$

Q.

If the probability of an occurrence of an event A is denoted by P(A), then the range of P(A) is

1. 0≤P(A)≤1.

2. 0≤P(A)<1.

3. 0<P(A)<1

4. 0<P(A)≤1

Q. A, B, C and D are outcomes of a random experiment. Then the value of x is _____

$\begin{array}{cc}\text{E}& \text{P(E)}\\ \text{A}& \text{0.15}\\ \text{B}& \text{0.25}\\ \text{C}& \text{x}\\ \text{D}& \text{0.35}\end{array}$

1. 0.25
2. 0.35
3. 0.15
4. 0.6

Q. A, B, C and D are outcomes of a random experiment. Find the value of x .

$\begin{array}{cc}\text{E}& \text{P(E)}\\ \text{A}& \text{0.15}\\ \text{B}& \text{0.25}\\ \text{C}& \text{x}\\ \text{D}& \text{0.35}\end{array}$

Q.

Estimate the outcome of the indicated number operation. Compare the estimation with exact outcome.

$2,056-298$

Q. Two coins are tossed simultaneously. Find the number of favourable outcomes for the following events.
i) To get at least one tail.
ii) To get only one head.
[2 Marks]

Q. Probability of a sure event is 1.

1. False
2. True

Q.

$Howdoyoucalculatecombinations?$

Q. The probability that an event can occur can be less than 0.

1. True
2. False

Q.

Estimate the outcome of the indicated number operation. Compare the estimation with exact outcome.

$1,021+2,788$

Q. Burst out the values that could be the probability of an event.

1. 1
2. 0.5
3. 2.3
4. -1
5. 0.75
6. 0.01
7. 0.99
8. -1.1
9. 1.86

Q. honey goes to school either by a car driven by her driver or uses her bicycle. probability that she uses the car is 3/7. if you are her friend , what mode of transport you would suggest to her. and why would you ask her to option that mode of transport.

Q.

If P(E) = 0.05, what is the probability of ‘not E’?

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. The probability of the occurrence of an event lies between 0 and 1.

1. False
2. True

Q. Probability of a sure event is 1.

1. True
2. False

Q. One person reaches the bus stop in between 10:05 to 10:15 and bus reaches bus stop in between10:00 to 10:10 then what will be probability of person to catch the bus?

Q. Burst out the values that could be the probability of an event.

1. 0.5
2. -1
3. 1
4. 2.3
5. 0.75
6. 1.86
7. -1.1
8. 0.99
9. 0.01

Q. Burst out the values that could be the probability of an event.

1. 0.7
2. -0.7
3. 1.2
4. 0.5
5. 5.7
6. 0.07
7. 0.9
8. 1
9. 0.2

Q.

The probability of an impossible event is___

1. 1

2. 0

3. 0.5

4. -0.5

Q.

if probability of a ship for getting it safe is 1/5. what is the probability of getting safe 3 ships out of 5?given that getting ships safe is independent from each other.

Q. Burst out the values that could be the probability of an event.

1. 0.5
2. -1
3. 1
4. 2.3
5. 0.75
6. 1.86
7. -1.1
8. 0.99
9. 0.01

Q.

Estimate the outcome of the indicated number operation. Compare the estimation with exact outcome.

$6,125+231$

Q. Which of the following cannot be the probability of an event?
(a)
(b) 0.3
(c) 33%
(d)

Q. Burst out the values that could be the probability of an event.

1. -1
2. 0.75
3. 1.86
4. 0.99
5. 0.5
6. 1
7. -1.1
8. 0.01
9. 2.3

Q. In a cricket match between India and Australia, the probability that India would win the toss is 1.

1. True
2. False

Q.

The probability of getting a sum of 13 , when two dice are thrown simultaneously is___

1. 1/13

2. 1/36

3. 1/6

4. 0

Q. Probability of a sure event is 1.

1. True
2. False