Random Experiment

Q.

A single letter is selected at random from the word “Probability”. The probability that the selected letter is a vowel is

1. $\frac{2}{11}$

2. $\frac{3}{11}$

3. $\frac{4}{11}$

4. $0$

Q. Cards marked with numbers 2 to 101 are placed .In a box one card is drawn.Find tge probability that the number on the card is
a. an even number
b. a number less than 14
c. a number which is a perfect square

Q. Question 37(ii)
A child's game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a square?

Q.

(i) A circle is inscribed in a square. A point inside the square is randomly selected. What is the probability that the point is inside the circle as well?

(ii) If, instead, the square was inscribed in the circle, and a point inside the circle was randomly selected, what is the probability that it is inside the square?

Q.

Inferential statistical conclusions are represented in the form of ?

Q.

What is the probability of getting a sum of 7 on two rolls of a die?

1. $\frac{7}{12}$

2. $\frac{1}{11}$

3. $\frac{1}{6}$

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

Q.

What is statistical hypothesis testing?

Q.

24 cards numbered 1, 2, 3, ...., 23, 24 are put in a box and mixed thoroughly. One person draws a card from the box. The probability that the number on the card is divisible by 2 or 3 or both is

1. $\frac{1}{6}$

2. $\frac{5}{6}$

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

Q.

Define random experiment.

Q.

Each of letters of the word PILOTS is on separate cards, face down on the table. If you pick a card at random, what is the probability that the letter will be a T or a L?

1. $\frac{1}{6}$

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

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

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

Q. Two dice are rolled. Find the probability that the sum of the digits on the upper face is 7.

Q.

An urn contains lottery tickets numbered from 1 to 100. If a ticket is selected at random, then the probability that it is a perfect square is

1. 0.1

2. 0.09

3. 0.08

4. 0.01

Q. Question 37(iii)
A child's game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a square of blue colour?

Q. If a fair die is rolled, and sample space is defined as, sample space $=\left\{\text{Even number, Odd number}\right\},$ then the outcomes are equally likely.

1. True
2. False

Q.

Numbers 1 to 50 are written on 50 slips of paper and placed in a basket. One slip is taken out at random. Find the probability that the slip may contain

i) a number more than 40

ii) a perfect square

1. 1/7, 3/50

2. 1/5, 7/50

3. 1/5, 3/50

4. 1/7, 7/50

Q. A letter is chosen at random from the word 'ENTERTAINMENT. Find the probability that the chosen letter is a vowel.

1. $\frac{4}{13}$
2. $\frac{2}{13}$
3. $\frac{3}{13}$
4. $\frac{5}{13}$

Q.

Which of the following is a random experiment?

1) Tossing a coin

2) Throwing a die

3) Drawing a card out from a deck of 52 cards

1. 1

2. 1 & 2

3. 2 & 3

4. All of them

Q.

A book has pages numbered from 1 to 85. What is the probability that the sum of the digits on the page is 8, if a page is chosen at random?

1. $\frac{7}{85}$

2. $\frac{9}{85}$

3. $\frac{8}{85}$

4. $\frac{6}{85}$

Q.

A card is drawn from a pack of 100 cards numbered 1 to 100. Find the probability of drawing a number which is a square.

1. 

2. 

3. 

4. 

Q. Question 12 (iii)
A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see figure) and these are equally likely outcomes. What is the probability that it will point at a number greater than 2?

Q. Write the sample space when three unbiased coins are tossed simultaneouly. [1 Mark]

Q.

From the word 'CHOCOLATE', a letter is selected at random. The probability that the chosen letter is a vowel is ___.

1. $\frac{5}{9}$

2. $\frac{4}{9}$

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

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

Q. Tossing a coin is an example of ___.

1. random experiment
2. false experiment
3. non-random experiment
4. true experiment

Q. The probability of getting a perfect square number in a single throw of a dice is ____.

1. 1/2

2. 
   1/3

3. 
   2/3

4. 
   3/4

Q. Question 07.
Apoorv throws two dice once and computers the product of the numbers appearing on the dice. Peehu throws one die and squares the number that appears on it. Who has the better chance of getting the number 36 ? why ?

Q.

From a set of 17 cards, numbered 1, 2, ..., 17, one card is drawn at random. What is the probability that number on the drawn card is a multiple of 3 or 7 ?

1. $\frac{5}{17}$

2. $\frac{7}{17}$

3. $\frac{8}{17}$

4. $\frac{6}{17}$

Q. Out of 6 digit numbers formed by using digits 0, 1, 2, 3, 4, 5 without repetition, one is selected at random then the probability that the selected number is divisible by 25 is

Q. Two dice are rolled. Find the probability that the sum of the digits on the upper face is 7.

1. $\frac{4}{6}$
2. $\frac{1}{2}$
3. $\frac{1}{3}$
4. $\frac{1}{6}$

Q.

Consider a square S of 5 cm side. The square S is divided into squares of unit area. Each unit square is coloured with red, yellow or both. If a point is chosen at random, what is the probability that it lies in a square containing both the colours?​

1. 6/25

2. 3/25

3. 24/25

4. 1

Q.

The table below contains different sports and the number of people who like it. If a person likes football, he makes an entry in the table as football and so on.
$\begin{array}{cc}\text{Sports}& \text{Number of Entries}\\ \text{Football}& \text{10}\\ \text{Badminton}& \text{11}\\ \text{Volley Ball}& \text{15}\\ \text{Cricket}& \text{25}\\ \text{Basket Ball}& 20\end{array}$
What is the frequency of the sport volleyball in the table?

1. 10

2. 11

3. 15

4. 25