Home
Class 12
MATHS
The mean of the numbers obtained on thro...

The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is

A

2

B

2

C

5

D

`(20)/(3)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the mean of the numbers obtained from throwing a die with specific face values, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the face values and their frequencies**: - The die has: - 1 on 3 faces - 2 on 2 faces - 5 on 1 face 2. **Calculate the total number of faces**: - Total faces = 3 (for 1) + 2 (for 2) + 1 (for 5) = 6 faces. 3. **Calculate the total sum of the values on the faces**: - The contribution to the total sum from each face value is calculated as follows: - From 1: \(1 \times 3 = 3\) - From 2: \(2 \times 2 = 4\) - From 5: \(5 \times 1 = 5\) - Total sum = \(3 + 4 + 5 = 12\). 4. **Calculate the mean**: - Mean = (Total sum of values) / (Total number of faces) - Mean = \(12 / 6 = 2\). 5. **Conclusion**: - Therefore, the mean of the numbers obtained on throwing the die is **2**.
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the variance of the number obtained on a throw of an unbiased die.

Total number of bone of human face :-

Peter throws two different dice together and finds the product of the two numbers obtained. Rina throws a die and squares the number obtained. Who has the better chance to get the number 25?

There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 3. Die B has one face marked with 1, two faces marked with 2, and three faces marked with 3. Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E, then P(E) is minimum when x equals to

Fill in the blanks : A cone has one ……. Face and one ….. Face .

Box I contains two white and three black balls. Box II contains four white and one black balls and box III contains three white and four black balls. A dice having three red, two yellow and one green face, is thrown to select the box. If red face turns up, we pick up box I, if a yellow face turns up we pick up box II, otherwise, we pick up box III. Then, we draw a ball from the selected box. If the ball drawn is white, what is the probability that the dice had turned up with a red face?

In a single throw of a dice; if X denotes the number on its upper face. Find the mean of X .

A person throws dice, one the common cube and the other regular terahedron, the number on the lowest face being taken in the case of a tetrahedron. The chance that the sum of numbers throws is not less than 5 is

A person throws dice, one the common cube and the other reglowest terahedron, the number on the lowest face being taken in the case of a tetrahedron. The chance that the sum of numbers throws is not less than 5 is

Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 white faces. A coins is flipped once. If it shows a head, the game continues by throwing die A: if it shows tail, then die B is to be used. If the probability that die A is used is 32/33 when it is given that red turns up every time in first n throws, then find the value of ndot