Data Handling- 2 - Free MCQ Practice Test with solutions, Class 8 Maths

When a die is thrown, the total number of possible outcomes is:

• Each face of a standard die is numbered from 1 to 6.
• When you throw the die, it can land on any one of these six faces.
• This means there are six different possible outcomes.

So, the correct answer is:
A: 6

- When a coin is thrown, there are two possible outcomes: Heads or Tails.
- Each side of the coin represents one outcome.
- Thus, the total number of possible outcomes is 2.
- Therefore, the correct answer is A: 2.

We know that in a single thrown of two die, the total number of possible outcomes is (6 × 6) = 36.
Let S be the sample space. Then, n(S) = 36

When two dice are thrown, each die has 6 faces, numbered from 1 to 6. To find the total number of outcomes when both dice are thrown, you can use the multiplication principle.

1. Outcomes for the first die: There are 6 possible outcomes (1, 2, 3, 4, 5, 6).
2. Outcomes for the second die: Similarly, there are also 6 possible outcomes.

To find the total number of outcomes when both dice are thrown, multiply the number of outcomes for the first die by the number of outcomes for the second die:

Total Outcomes = Outcomes for the first die × Outcomes for the second die = 6 × 6 = 36 

Conclusion

So, when two dice are thrown, there are a total of 36 possible outcomes. Each outcome can be represented as an ordered pair (x, y), where x is the result from the first die and y is the result from the second die. For example, (1, 1), (1, 2), ..., (6, 6).

Non - red ball = 8
Probability = No of non red balls/Total no. of outcomes
= 8/10 = 4/5

Given - Number of different balls
Find - Probability of getting red ball
Solution - Probability of getting red ball = number of red balls / total number of balls.
Number of red balls = 2
Total number of balls = 2 + 3 + 5
Performing addition
Total number of balls = 10
Keep the values in formula to find the probability of getting red ball.

The probability of drawing a Black ball is calculated by dividing the number of Black balls by the total number of balls in the bag.

• Total number of Black balls: 5
• Total number of balls: 2 (Red) + 3 (Blue) + 5 (Black) = 10

Probability = Number of Black balls / Total number of balls = 5/10 = 1/2

a) 7/10

Total balls = 2 (Red) + 3 (Blue) + 5 (Black) = 10
Non-blue balls = Red + Black = 2 + 5 = 7
Probability of non-blue = favorable / total = 7/10.

(Complement check: 1 − P(Blue) = 1 − 3/10 = 7/10

Answer: (b) To ensure meaningful inferences can be drawn

• Systematically organizing data helps in identifying patterns, trends, and relationships within the data.
• It facilitates efficient analysis and interpretation, allowing for accurate conclusions.
• Structured data presentation aids in communicating findings to others, ensuring clarity and understanding.
• It enhances decision-making processes by providing a clear basis for deriving insights.

- A circle graph is commonly known as a "pie chart."
- It visually represents data in a circular format, divided into slices to illustrate numerical proportions.