UPSC > CSAT Preparation > Dices & Cubes
Dices & Cubes Video Lecture - CSAT Preparation - UPSC
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FAQs on Dices & Cubes Video Lecture - CSAT Preparation - UPSC
| 1. What are dices and cubes? |  |
Ans. Dices and cubes are geometrical objects used in mathematics and probability. A dice is a small object with six sides, numbered from 1 to 6. It is typically used in games of chance or as a random number generator. On the other hand, a cube is a three-dimensional object with six identical square faces. It can be used to represent various concepts, such as volume or a unit of measurement.
| 2. How many different outcomes are possible when rolling a single dice? | |
Ans. When rolling a single dice, there are six different possible outcomes. Each face of the dice is numbered from 1 to 6, and rolling the dice can result in any of these numbers. The outcome is determined by chance, and each number has an equal probability of being rolled.
| 3. What is the probability of rolling a specific number on a dice? | |
Ans. The probability of rolling a specific number on a dice is 1 out of 6, or 1/6. Since there are six possible outcomes when rolling a dice, and each outcome has an equal chance of occurring, the probability of rolling a specific number is calculated by dividing 1 (the favorable outcome) by 6 (the total number of possible outcomes).
| 4. How many different outcomes are possible when rolling two dices together? | |
Ans. When rolling two dices together, there are 36 different possible outcomes. Each dice has six faces, and when two dices are rolled simultaneously, the total number of outcomes is obtained by multiplying the number of faces on each dice. In this case, 6 multiplied by 6 equals 36.
| 5. What is the probability of rolling a sum of 7 when rolling two dices together? | |
Ans. The probability of rolling a sum of 7 when rolling two dices together is 1/6. To calculate this probability, we need to determine the number of favorable outcomes (rolling a sum of 7) and divide it by the total number of possible outcomes (36). In this case, there are six favorable outcomes (rolling combinations of (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1)) out of 36 possible outcomes, resulting in a probability of 1/6.
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Video Description: Dices & Cubes for UPSC 2023 is part of CSAT Preparation preparation.
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