Rolling of Dice Experiment

Q.

Three identical dice are rolled. The probability that same number will appear on each of them will be

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

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

3. $\frac{1}{18}$

4. $\frac{2}{38}$

Q.

If a die is thrown 50 times and six appears 8 times, then the probability of getting a six is _______.

1. 0.16

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

3. $\frac{8}{50}$

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

Q.

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

1. A multiple of 7

2. Getting a face of 2

3. Getting a face of 1

4. A multiple of 2

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.

An event is performed to throw a die and get an odd number on it. The list of favorable possible outcomes are:

1. $(1,3and5)$

2. $(2,4and6)$

3. $(1,2and6)$

4. $(1,3and6)$

Q.

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

1. 3

2. 2

3. 1

4. 4

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 a toss of a die, consider following events :
A : An even number turns up.
B : A prime number turns up.
These events are

1. Equally likely events
2. Mutually exclusive events
3. None of these
4. Exhaustive events

Q. A lock is opened when we enter a two digit key. The first digit of the key is a multiple of 5 from 1 through 101 and the second digit is a prime number from 0 through 20. The probability of finding the key through the $\text{above condition is given as}\frac{1}{A}.\text{What is the value}$ of 'A'?

1. 160

Q. A survey of the transport of 232 students coming to school is given as: If the probability of a randomly selected student transport mode is a combination of bike as well as bus is represented by $\frac{1}{A}$, find the value of 'A'.

1. 4

Q. Two dice are rolled simultaneously. The probability that they show different faces is:

1. $\frac{6}{5}$
2. $\frac{1}{6}$
3. $\frac{1}{3}$
4. $\frac{5}{6}$

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. $\frac{1}{3}$