What is the chance that when you roll a 6 sided die that the die will land on a 6?
Table of Contents
- 1 What is the chance that when you roll a 6 sided die that the die will land on a 6?
- 2 What are the possible outcomes of rolling a six sided die?
- 3 What is the probability of rolling an even number when rolling a 6 sided die?
- 4 How do you find the probability of rolling a single die?
- 5 What is the probability of getting 7 on a 10-sided die?
- 6 How many times Would you roll a 4 with 600 dice?
What is the chance that when you roll a 6 sided die that the die will land on a 6?
Two (6-sided) dice roll probability table
| Roll a… | Probability |
|---|---|
| 4 | 3/36 (8.333\%) |
| 5 | 4/36 (11.111\%) |
| 6 | 5/36 (13.889\%) |
| 7 | 6/36 (16.667\%) |
What are the possible outcomes of rolling a six sided die?
| Trial | Outcomes | Examples of Events |
|---|---|---|
| Rolling a die | There are 6 possible outcomes: {1, 2, 3, 4, 5, 6} | Rolling an even number: {2, 4, 6} Rolling a 3: {3} Rolling a 1 or a 3: {1, 3} Rolling a 1 and a 3: { } (Only one number can be rolled, so this outcome is impossible. The event has no outcomes in it.) |
What is the probability of rolling an even number when rolling a 6 sided die?
1/2
Then the probability of an event is the number of outcomes in the event divided by the number of possible, equally likely outcomes. For example, the probability of rolling an even number on a 6-sided die is 3/6 = 1/2.
When rolling a 12 sided die What is the probability of rolling an even number or a multiple of 3?
Explanation: The probability of rolling a 3 is 16 . The probability of rolling an even number is 36 .
What is the expected value of rolling a four on a die?
Because this question uses the word “expect”, you should use expected value. Since one out of six sides of a die is a four (assuming the die is both fair and six-sided) you expect to roll a four 1/6 of the time. Take 1/6 and multiply it by the 600 times you will roll the die, you get an expected value of 100 fours.
How do you find the probability of rolling a single die?
The probability of rolling the same value on each die – while the chance of getting a particular value on a single die is p, we only need to multiply this probability by itself as many times as the number of dice. In other words, the probability P equals p to the power n, or P = pⁿ = (1/s)ⁿ.
What is the probability of getting 7 on a 10-sided die?
There is a simple relationship – p = 1/s, so the probability of getting 7 on a 10 sided die is twice that of on a 20 sided die. The probability of rolling the same value on each die – while the chance of getting a particular value on a single die is p, we only need to multiply this probability by itself as many times as the number of dice.
How many times Would you roll a 4 with 600 dice?
The answer to this is 1 / 6 = One out of every six rolls. This is it’s probability. With this in mind we can now answer how many times you would expect to roll a 4 if you roll a dice 600 times. So, on average, you would roll a four 100 times out of all 600 rolls.