Question

Questions and their Solutions
Question 1
A die is rolled, find the probability that an even number is obtained.
Solution
Let us first write the sample space S of the experiment.
S = {1,2,3,4,5,6}
Let E be the event "an even number is obtained" and write it down.
E = {2,4,6}
We now use the formula of the classical probability.
P(E) = n(E) / n(S) = 3 / 6 = 1 / 2



Question 2
Two coins are tossed, find the probability that two heads are obtained. Note: Each coin has two possible outcomes H (heads) and T (Tails).
Solution
The sample space S is given by.
S = {(H,T),(H,H),(T,H),(T,T)}
Let E be the event "two heads are obtained".
E = {(H,H)}
We use the formula of the classical probability.
P(E) = n(E) / n(S) = 1 / 4


Question 3
Which of these numbers cannot be a probability?
a) -0.00001
b) 0.5
c) 1.001
d) 0
e) 1
f) 20%

Answer 1

Step-by-step explanation:

Given that: First two questions have well explained answers.

Don't know why these are written over here.

Question to be solved:

Question 3

Which of these numbers cannot be a probability?

a) -0.00001

b) 0.5

c) 1.001

d) 0

e) 1

f) 20%

Solution: We know that probability of occurrence of any event expressed as P(E),have minimum and maximum boundaries,i.e

$0 \leqslant P(E) \leqslant 1$

So,any value less than 0 and any value grater than 1 can never be probability of any event.

a) -0.00001

Ans: No, it cannot be a probability of occurrence or not occurrence of any event

Because,it is negative

b) 0.5

Ans: Yes, it lies between 0 and 1

c) 1.001

Ans: No, because it is greater than one

d) 0

Ans: Yes, this is probability of impossible events

e) 1

Ans: Yes, this is probability of universal truths(sure/certain events)

f) 20%

Ans:20%

$= \frac{20}{100} \\ \\ = 0.2$

Yes,as it lies between the range .

Hope it helps you.

Answer 2

Answer:

Mass, in physics, quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that a body of matter offers to a change in its speed or position upon the application of a force. The greater the mass of a body, the smaller the change produced by an applied force.

Step-by-step explanation:

hope you are understand that