Table of Contents
- 1 What is the probability that in two throws of a die at least one six appears?
- 2 What is the probability that at least one of the dice shows a 1?
- 3 What is the probability of rolling a number greater than 2?
- 4 What is the probability that at least one dice shows an odd number?
- 5 What is the probability of rolling an even number on a dice?
- 6 How many different rolls can you make with two dice?
- 7 How do you find the sum of two dice rolling?
What is the probability that in two throws of a die at least one six appears?
When you roll two dice, you have a 30.5 \% chance at least one 6 will appear.
What is the probability that at least one of the dice shows a 1?
So, the probability of rolling at least one 1 in six rolls of a dice is 1-0.335=0.665.
What is the probability that you threw 7 and at least one of the dices is a six?
For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.
What is the probability of rolling a number greater than 2?
So the probability of rolling greater than 2 is 4/6 or 2/3.
What is the probability that at least one dice shows an odd number?
1/2
(a) At least one of the dice shows an even number? P(at least one is even) = 1 – P(both are odd). And the probability that the first die shows an odd number is 1/2, as is the probability that the second does….Probability.
Outcome | Probability | Product |
---|---|---|
1 | 1/6 | 1/6 |
2 | 1/6 | 2/6 |
3 | 1/6 | 3/6 |
4 | 1/6 | 4/6 |
What is the probability of rolling a 1 on a dice?
1/6
Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.
What is the probability of rolling an even number on a dice?
Half of the numbers on a regular die are odd. The opposite of rolling an odd number is to roll an even number. There are 3 out of 6 outcomes on a dice that are even: 2, 4 and 6. And so, the probability of rolling an even number on a dice is 3 / 6.
How many different rolls can you make with two dice?
There are a total of 36 different rolls with two dice, with any sum from 2 to 12 possible. 1 How does the problem change if we add more dice? Possible Outcomes and Sums Just as one die has six outcomes and two dice have 6 2 = 36 outcomes, the probability experiment of rolling three dice has 6 3 = 216 outcomes.
What is the probability of rolling two 6s with one die?
So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent. The simplest case when you’re learning to calculate dice probability is the chance of getting a specific number with one die.
How do you find the sum of two dice rolling?
You must roll a 1 and a 2 or you must roll a 2 and a 1. The combinations for rolling a sum of seven are much greater (1 and 6, 2 and 5, 3 and 4, and so on). To find the probability that the sum of the two dice is three, we can divide the event frequency (2) by the size of the sample space (36), resulting in a probability of 1/18.