Random Experiment

Q.

A coin is tossed twice. What is the probability that atleast one tail occurs?

1. 1

2. 1/4

3. 3/4

4. 1/2

Q.

In a simultaneous toss of two coins, the probability of getting no tail is:

1. 2

2. 1/2

3. 0.1

4. 1/4

Q.

The probability that in a group of 3 people, at least two will have the same birthday is:

1. 

2. 

3. 

4. 

Q.

An experiment consists of tossing a coin and then throwing it second times if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.

Q.

An experiment is called random experiment if

1. It has more than one possible outcome

2. We are able to predict the outcome in advance

3. It is not possible to predict the outcome in advance

4. It has only one possible outcome

Q.

Suppose 3 bulbs are selected at random from a lot. Each bulb is tested and classified as defective (D) or non-defective (N). Write the sample space of this experiment?

Q. two numbers are selected at random from a ser of first 90 natural numbers. Find the probability that the product of randomly selected numbers is divisible by 3

Q.

A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.

Q. Q- there are 4 red, 3 green and 2 white balls in a box.Two balls in succession are picked up from the box.what is the probability that these balls are not green? 1)5/12 2)4/9 3)3/4 4)2/ 4)

Q.

The sample space associated to thrown a dice is:

1. (1, 2, 3, 4, 5, 6)

2. (2, 4, 6)

3. (1, 2, 3)

4. (1, 3, 5)

Q. If 4-digit numbers greater than 5000 are randomly formed from the digits 0, 1, 3, 5 and 7 what is the probability of forming a number divisible by 5 when (i) the digits are repeated? (ii) the repetition of digits is not allowed?

Q. a coin is tossed n times.what is the number of the elements in the sample space ?.also write the number of all possible events

Q.

Describe the sample space for the indicated experiment.
A coin is tossed and then a die is rolled only in case a head is shown on the coin.

Q.

Describe the sample space for the indicated experiment.
A coin is tossed and a die is thown.

Q.

Describe the sample space for the indicated experiment.
A Coin is tossed four times.

Q. 26. A number x is selected at random from the numbers 1, 4, 9, 16 and another number y is selected at random from the numbers 1, 2, 3, 4. Find the probability that the value of xy is more than 16.

Q. 5. Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is

Q. The event of getting a number greater than 6 on rolling a single die is called a random experiment.

1. False
2. True

Q. 9 Three numbers are to be selected from 1 to 30. Find the probability that the selected numbers are not consecutive .

Q.

An integer is chosen at random ranging from 1 to 50.Find the probability that it is a multiple of 2 or 3 or 5 or 6

Q. 27. A number x is selected at random from the numbers 1, 2, 3 and 4 . Another number y is selected at random from the numbers 1, 4, 9 and 16 .Find the probability that the product of x and y is less than 16.

Q. Selecting a blue ball from a bag which contains 50 blue balls is an example of a random experiment.

1. False
2. True

Q. Selecting a blue ball from a bag which contains 50 blue balls is an example of a random experiment.

1. False
2. True

Q. $\begin{array}{cccc}& \text{List I}& & \text{List II}\\ \text{(A)}& \text{Let}n\text{be a number chosen randomly from}& & \\ & \text{the set of first}100\text{natural numbers. Then}& & \\ & \text{the probability that the value of}(1+i{)}^n& & \\ & \text{is real, is}& \text{(P)}& 2\\ \text{(B)}& \text{If the coefficient of}{x}^{13}\text{in the expansion of}& & \\ & (1-x{)}^5(1+x+x^2+x^3{)}^4\text{is}k\text{, then the}& & \\ & \text{value of}\frac{k}{4}\text{is}& \text{(Q)}& 0.35\\ \text{(C)}& \text{In an examination of}9\text{papers, a candidate}& & \\ & \text{has to pass in more papers than (s)he fails in}& & \\ & \text{order to be successful. If the number of}& & \\ & \text{ways in which (s)he can be unsuccessful is}{2}^m,& & \\ & \text{then the value of}\frac{m}{4}\text{is}& \text{(R)}& 0.55\\ \text{(D)}& A,B,C\text{are three events such that}& & \\ & P\left(A\right)=0.6,P\left(B\right)=0.4,P\left(C\right)=0.5,& & \\ & P(A\cup B)=0.8,P(A\cap C)=0.3\text{and}& & \\ & P(A\cap B\cap C)=0.2\text{. If}P(A\cup B\cup C)\ge 0.85& & \\ & \text{and}P(B\cap C)\text{lies in the interval}[0.2,b]\text{,}& & \\ & \text{then the value of}b\text{is}& \text{(S)}& 1\\ & & \text{(T)}& 0.5\\ & & \text{(U)}& 0.25\end{array}$

Which of the following is the only INCORRECT combination?

1. $\left(A\right)\to \left(U\right)$
2. $\left(B\right)\to \left(S\right)$
3. $\left(C\right)\to \left(R\right)$
4. $\left(D\right)\to \left(Q\right)$

Q.

Ram rolls a fair die. Which of the following can be the outcome?

1. Head

2. Tail

3. 1

4. 2

Q. Throwing a die having three faces as 2, 4 and 6 while remaining faces as blank, is a random experiment.

1. False
2. True

Q. two numbers b and c are chosen at random with replacement from the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 .find the probability that x²+bx+c>0 for all x belongs to R.