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What is the probability of rolling a dice 3 times and getting an odd number at least once?

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The probability of rolling a dice 3 times and getting an odd number at least once is approximately 87.5%. This can be calculated by subtracting the probability of getting all even numbers (12.5%) from 100%.

The probability of rolling a dice 3 times and getting an odd number at least once can be calculated by considering the complementary events – the probability of not getting any odd numbers. Let’s delve into the details to understand the concept better.

To calculate the probability, we need to first determine the total possible outcomes when rolling a dice 3 times. Since each roll has 6 possible outcomes (numbers 1 to 6), the total number of outcomes for 3 rolls is 6 * 6 * 6 = 216.

Next, we need to calculate the number of outcomes where we do not get any odd numbers. An odd number appears on a dice in the form of 1, 3, or 5. As there are 3 odd numbers, each with an equal probability of appearing (1/6), the probability of not getting an odd number on one roll is 1 – 3/6 = 1/2.

Since we are rolling the dice 3 times, the probability of not getting any odd numbers would be (1/2) * (1/2) * (1/2) = 1/8.

Now, to find the probability of getting an odd number at least once, we subtract the probability of not getting any odd numbers from 1. Therefore, the probability of rolling a dice 3 times and getting an odd number at least once is 1 – 1/8 = 7/8, which is approximately 87.5%.

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“The only way to learn mathematics is to do mathematics.” – Paul Halmos

Interesting Facts:

  1. Probability is a branch of mathematics that deals with calculating the likelihood of events occurring.
  2. A standard 6-sided dice has 6 equally probable outcomes, making it a common tool to understand probability concepts.
  3. The probability of an event ranges from 0 to 1, where 0 indicates impossibility and 1 indicates certainty.
  4. The concept of complementary events is often used to calculate the probability of an event by considering the probability of its complement (the event not happening).
  5. Probability is widely used in various fields such as statistics, gambling, finance, and science to make predictions and informed decisions.

Table:

Outcome Probability
Odd Number on One Roll 1/2
No Odd Numbers on Three Rolls 1/8
At Least One Odd Number on Three Rolls 7/8

Maria, a mathematician, provides a straightforward explanation of how to determine the probability of rolling a dice when the number is greater than 3 and less than 5. By considering all the possible outcomes (numbers 1 to 6) and noting that only the number 4 satisfies the condition, Maria concludes that the probability is 1 out of 6.

Check out the other answers I found

If a dice is tossed thrice, find the probability ofgetting an odd number at least once. = 7/8 is the answer.

In addition, people ask

What is the probability of rolling a 3 and an odd number?
The response is: In this situation, rolling a six-sided has 6 outcomes, each of which is equally likely, so we can define the probability of an event (such as rolling a 3 or rolling an odd number) as the ratio of favorable outcomes to possible outcomes: the probability of rolling a 3 is 16 and the probability of rolling an odd number
What is the probability of getting odd number less than 3 in a dice?
The reply will be: 1/6
Therefore, the probability of getting an odd number less than 3 is 1/6.
How do you find the probability of getting at least once?
To calculate the probability of an event occurring at least once, it will be the complement of the event never occurring. This means that the probability of the event never occurring and the probability of the event occurring at least once will equal one, or a 100% chance.
What is the probability of rolling a dice 3 times and getting a different?
Summary : If three dice are tossed, then the probability that the numbers shown will all be different is 5/9.
What are all the possible outcomes of Rolling 3 dice?
As a response to this: We multiply and see that there are 6 x 6 x 6 = 216 possible outcomes. As it gets cumbersome to write the repeated multiplication, we can use exponents to simplify work. For two dice, there are 6 2 possible outcomes. For three dice, there are 6 3 possible outcomes. In general, if we roll n dice, then there are a total of 6 n possible outcomes.
What is the probability of rolling a 3 on a six sided dice?
As an answer to this: The chance of rolling a total of 2 is 2.78 percent The chance of rolling a total of 3 is 5.56 percent The chance of rolling a total of 4 is 8.33 percent
What are the odds of rolling dice?
Response to this: The most likely outcomes when rolling three dice at once are 10 and 11. Each of these numbers has a 12.5% likelihood of being rolled. Both numbers each have 27 combinations that could result in 10 or 11. Because there are three dice instead of two, the number of possible combinations increases from 36 to 216.
What are all the possible outcomes of Rolling 3 dice?
As a response to this: We multiply and see that there are 6 x 6 x 6 = 216 possible outcomes. As it gets cumbersome to write the repeated multiplication, we can use exponents to simplify work. For two dice, there are 6 2 possible outcomes. For three dice, there are 6 3 possible outcomes. In general, if we roll n dice, then there are a total of 6 n possible outcomes.
What is the probability of rolling a 3 on a six sided dice?
Response to this: The chance of rolling a total of 2 is 2.78 percent The chance of rolling a total of 3 is 5.56 percent The chance of rolling a total of 4 is 8.33 percent
What are the odds of rolling dice?
Answer will be: The most likely outcomes when rolling three dice at once are 10 and 11. Each of these numbers has a 12.5% likelihood of being rolled. Both numbers each have 27 combinations that could result in 10 or 11. Because there are three dice instead of two, the number of possible combinations increases from 36 to 216.

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