Rolling of Dice Experiment

Q.

Two dice are thrown simultaneously. Find the probability of getting a sum of 12.

1. $\frac{1}{8}$

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

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

4. $\frac{1}{36}$

Q. A dice is thrown once. Find the probability of getting a number less than 3.

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

Q.

A die thrown 300 times and the outcomes are noted as given below:

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 60& 72& 54& 42& 39& 33\end{array}$

When a die is thrown at random, what is the probability of getting a

(i) 3?

(ii) 6?

(iii) 5?

(iv) 1?

Q.

A dice is rolled $600$ times and the occurrence of the outcomes $1,2,3,4,5$ and $6$ are given below:

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 200& 30& 120& 100& 50& 100\end{array}$

The probability of getting a prime number is ?

Q.

If a number of two digits is formed with the digits $2,3,5,7,9$ without repetition of digits.

The probability that the number formed is $35,$ is

1. $\frac{1}{10}$

2. $\frac{1}{20}$

3. $\frac{1}{30}$

4. none of these

Q.

A die is thrown 100 times . If the probability of getting an even number is $\frac{2}{5}$ . How many times an odd number is obtaincd?

Q. In a throw of a die, the probability of getting an odd prime number is

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

Q.

Two dice are thrown simultaneously. What is the probability of obtaining a multiple of $2$ on one of the them and a multiple of $3$ on the other

1. $\frac{5}{36}$

2. $\frac{11}{36}$

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

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

Q. Two fair dice are thrown simultaneously. The probability of getting the sum of numbers shown on the dice is either divisible by 2 or divisible by 5, is

1. $\frac{2}{3}$
2. $\frac{13}{18}$
3. $\frac{7}{12}$
4. $\frac{11}{18}$

Q.

What are the set of odd numbers on a die?

1. 1, 2, 3, 4, 5, and 6

2. 1 and 3

3. 1 and 5

4. 1, 3, and 5

Q.

In 50 throws of a die, the outcomes were noted as under:

$\begin{array}{ccccccc}\text{Outcomes}& 1& 2& 3& 4& 5& 6\\ \text{Number of times}& 8& 9& 6& 7& 12& 8\end{array}$

A die is thrown at random. What is the probability of getting an even number?

(a) $\frac{12}{25}$

(b) $\frac{3}{50}$

(c) $\frac{1}{8}$

(d) $\frac{1}{2}$

Q.

For a biased die the probabilities for different faces to turn up are given below :

Face	$1$	$2$	$3$	$4$	$5$	$6$
Probability	$0.1$	$0.32$	$0.21$	$0.15$	$0.05$	$0.17$

The die is tossed and you are told that either face $1$ or $2$ has turned up. Then the probability that the face $1$ is

1. $\frac{5}{21}$

2. $\frac{5}{22}$

3. $\frac{4}{21}$

4. None of these

Q.

A bag contains 100 identical marble stones numbered from 1 to 100. What is the probability of drawing a marble having number divisible by 4 and 5?

1. 1/25

2. 2/25

3. 2/20

4. 2/40

Q.

A die is thrown once. Find the probability of getting a number lying between $2$ and $6$.

Q. If we throw two unbiased dice, what is the probability getting doublets?

1. 1/18
2. 7/18
3. 5/6
4. 1/6

Q.

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table:

$\begin{array}{cc}\text{Outcome}& \text{Frequency}\\ 1& 165\\ 2& 175\\ 3& 180\\ 4& 150\\ 5& 145\\ 6& 185\end{array}$

What is the probability of getting 2 or 4?

1. 0.515

2. 0.245

3. 0.325

4. 0.455

Q. A die is thrown 20 times and the frequency of the outcomes is as given below:

Outcomes	1	2	3	4	5	6
Frequency	4	3	5	4	3	1

The probability of getting a number greater than 3 is

1. 0.6
2. 0.2
3. 0.25
4. 0.4

Q.

Two dice having six sides with numbers $1,2,3,4,5$ and $6$ written on them or rolled. Answer the questions that follow.
What is the probability that the two dice show up the same number ?

Q. Question 24 (ii)
A die is thrown twice. What is the probability that 5 will come up at least once?

Q.

In an event of throwing the dice, what is the probability of getting a number 4, if the numbers on the dice start from 0 and has six faces?

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

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

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

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

Q. A die is rolled 50 times and the number appearing on the top face of the die is noted. The data is tabulated as follows:

Number	Frequency
1	10
2	5
3	10
4	15
5	5
6	5

What is the probability of getting a number equal to or less than 3?

1. 0.6
2. 0.5
3. 0.55
4. 0.45

Q. Question 13 (i)
A dice is thrown once. Find the probability of getting a prime number.

Q.

Which of the following is not the outcome when you throw an unbiased die?

1. Getting a face of 1

2. A multiple of 7

3. A multiple of 2

4. Getting a face of 2

Q. Two dice are thrown simultaneously. The probability of sum of the cubes of the numbers on the top of the dice is a perfect square number is

1. $\frac{1}{9}$
   
2. $\frac{1}{8}$
   
3. $\frac{1}{12}$
   
4. $\frac{1}{6}$
   

Q. If two dice are thrown simultaneously, then the probability that the product of the outcomes on both the dice is a multiple of 3 is

1. $\frac{1}{3}$
2. $\frac{5}{9}$
3. $\frac{4}{9}$
4. $\frac{2}{3}$

Q. Question 24 (i)
A die is thrown twice. What is the probability that 5 will not come up either time?

Q.

A die was rolled 60 times and the result is as follows.

Find the probability of getting
(i)1
(ii) 5
(iii) an even number.

$\begin{array}{ccccccc}\text{Number}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 12& 14& 9& 15& 6& 4\end{array}$
[3 MARKS]

Q.

A die is thrown 500 times and the outcomes 1, 2, 3, 4, 5, 6 have frequencies as given below

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 75& 85& 90& 80& 75& 95\end{array}$

What is the probability of getting a value greater than or equal to 4?

1. 0.6
2. 0.75
3. 0.5
4. 0.8

Q.

Two dice are thrown simultaneously . The probability of getting a mutiple of 2 on one die and a multiple of 3 on the other is ______

Q.

How many possibilities of even numbers are there when a single die is thrown?

1. 3

2. 2

3. 1

4. 4