Equally Likely Events

Q.

What does likely mean in probability?

Q.

$n$ cadets have to stand in a row. If all possible permutations are equally likely, then the probability that two particular cadets stand side by side, is

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

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

3. $\frac{2}{(\mathrm{n}-1)!}$

4. None of these.

Q. 27. Two different dice are thrown together. Find the probability that the numbers obtained have (I) Even sum, and (II) Even product

Q. if A, B, C are events associated with a random experiment such that P(exactly one of events A or B)=P(exactly one of B OR C)=P(exactly one of A OR C)=p and P(all three events occuring simul†an eously )=p^2 , then find probability of occurrence of at least one of A , B, and C

Q. In an experiment with n different outcomes, each of them equally - likely, what is the probability of each event?

1. n
2. $\frac{1}{n}$
3. $\frac{1}{n^2}$
4. Proportional to $\frac{1}{n^2}or\frac{k}{n^2}$

Q.

A die is rolled and two events A and B are defined as follows.
A: An odd number turns up
B: A prime Number turns up

Find the value of 36 P$(A\cup B)$.

Q.

A and B having equal skill, are playing a game of best of 5 points. After A has won two points and B has won one point, the probability that A will win the game is:

1. None

2. 1/2

3. 2/3

4. 3/4

Q.

A die is rolled and two events A and B are defined as follows.
A: An odd number turns up
B: A prime Number turns up

Find the value of 36 P$(A\cup B)$.

___

Q. In an experiment with n different outcomes, each of them equally - likely, what is the probability of each event?

1. 

2. 

3. 

4. 

Q. we are to take 4 points in the surface of a sphere. what is the (average)probability that the tetrahedron formed by the 4 points will contain the centre of the sphere in it