Question

1. # Suppose That You Are Rolling A Six Sided Dice. Let A = Get A 3 What Is P(Ac)?

Rolling a six sided dice may seem like a simple game of chance and luck, but there’s actually some mathematics behind it. Probability plays a huge role in how often you’re likely to roll certain numbers, and understanding the probability calculations can be important if you want to win or gain an edge in many gambling games. In this post, we’ll explore the concept of probability by looking at the example of rolling a six sided dice and finding P(Ac) when A = get a 3. Read on to learn more!

## What is a six sided dice?

A six sided dice is a cube with six faces, each with a different number of dots. The most common six sided dice have the numbers 1, 2, 3, 4, 5, and 6 on their faces. When you roll a six sided dice, there is an equal chance of any number coming up. That means that the probability of getting any particular number is 1/6.

## What is the probability of rolling a 3?

There are six possible outcomes when rolling a six-sided die, and each outcome is equally likely to occur. Therefore, the probability of rolling a three is 1/6.

## What is P(Ac)?

There are six possible outcomes when rolling a die, so the probability of getting a particular number is 1/6. The probability of not getting that number (i.e. Ac) is therefore 1 – 1/6 = 5/6.

## How to calculate P(Ac)

To calculate P(Ac), we need to know the number of ways that A can occur and the total number of possible outcomes.

A can occur in 1 way, which is getting a 6. There are a total of 6 possible outcomes, so P(Ac) = 1/6.

## Conclusion

In conclusion, if you were to roll a six-sided dice and the event A is defined as getting a 3, then the probability of that event occurring can be calculated using P(A) = 1/6. This means that if you roll the dice once there is a one in six chance of getting a 3. We hope this article has helped clarify what P(A) means and how it applies to rolling a six-sided die.

2. We all know the thrill of rolling a six-sided dice – the anticipation of what you’ll get, the hope that you’ll get the number you want. But what about the probability that you’ll get the number you want? Let’s take a look at the probability of getting a 3 from a six-sided dice.

P(A₁) is the probability of getting a 3 on a six-sided dice. Mathematically, this can be expressed as 1/6, or 16.7%. This means that if you roll a dice 6 times, you should expect to get a 3 once.

But what if you want to know the probability of getting a 3 after rolling the dice just once? That’s where P(Ac) comes in.

P(Ac) is the probability of not getting a 3 on a six-sided dice. This can be expressed as 5/6, or 83.3%. This means that if you roll a dice once, you should expect to NOT get a 3 five times out of six.

So if you’re wondering what the probability is of getting a 3 from a six-sided dice, the answer is P(A₁) = 1/6, or 16.7%, and P(Ac) = 5/6, or 83.3%.

Now that you know the basics of probability when it comes to rolling a six-sided dice, you can use this information to your advantage in any game that involves dice. Be sure to keep these probabilities in mind when you’re playing games with your friends and family.

Good luck and have fun!