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What is the probability of rolling an odd number on one roll of a die?
Wiki User
∙ 14y ago
I'm not that sure but I would say 1 in 6
Wrong, it is 1 in 2. This is because there are 6 sides of a die, and there are 3 odd numbers. 3 over 6 simplifies to 1 over 2, so 1 in 2.
Wiki User
∙ 14y ago
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You roll a red die and a green die What is the size of the sample space of all possible outcomes of rolling these two dice given that the red die sHow is an even number?
25 percent
What is the probability of rolling a number less than 5 on a six-sided die?
A way to visulize this is to start with asking "what situation has the least probability" on one roll of a six-sided die. The answer is any particular number, say a 1. Since there are six possible numbers, the probability is 1-in-6 or 1/6 = 0.17 (17%); now, since the total probability of any set added to the probability of the opposite outcome must be 1, then it stands that the probability of getting any of the 5 remaining numbers (2 through 6) is 1 - 0.17 = 0.83 (83%).In fact, for any n-sided die, the probability, on one roll, of getting one of m numbers in the set of nnumbers is m/n.Answer: if n = 6, and m = 4, because there are only 4 numbers on a six-sided die less than 5, the probability, P = 4/6 = 0.67 (67%).Now let's extend the question and ask: what is the probability of getting a number less than 5 in each of two rolls. To answer, we must accept that each roll is a mutully exclusive set. That means the each roll has no impact whatsoeveron any other roll. Now, one could argue that this is never the case, because when the die bounces on the table, it changes the surface structure, or your hand muscles are stressed from the first roll, etc., but you would dramatically change the nature of the probability sets and make this far too technical a situation to be handled here. But in general, we say that these two die rolls have no impact on one another and are therefore mutually exclusive.To find the probability of two mutually exclusive sets, we simply multiply the separate probabilities. Keep in mind that while the two sets are mutually exclusive, the sum of the combined probabilities, plus the opposite of the two, must be 1 (or 100%).So, if the probability of rolling a 1,2,3, or 4 in one throw is 0.67, the doing the same in two throws is 0.67 * 0.67 = 0.44 (44%); hopefully you intuitively predicted that the probability would go down. Therefore, the probability of not throwing anything less than a 5 twice in a row is P = 1 - 0.44 = 0.56 (56%); keep in mind: this is not the probability of throwing a 5 or 6 twice in a row; it simply means not throwing a 1, 2, 3, or 4 twice in a row; for example, this could mean throwing a 1,2,3, or 4 the first time, but then throwing a 5 or 6 the second time. You have to ask "what are all the situations where it wouldn't be true?". Knowing that the probability of the opposite occurring is 56%, this should intuitively tell you that this "opposite" probability set has more possibilities.Try this on your own: What is the probability of rolling exactly a 5, then rolling exactly a 1? Hint: what is the probability of each case on its own?
What is the event space for rolling a number greater than 1 with one die?
12
What is an example of theoretical probability?
The probability that a flipped coin has a probability of 0.5 is theoretical in that it assumes the existence of a perfect coin. The same can be said of the probabilities of the spots appearing on a single tossed die which requires the existence of a perfect die. Here's an example. Consider tossing a coin twice to see what comes up. It could be tail, head, or head tail, or tail, tail or head, head. The theoretical probability of two heads is one in four. In general, theoretical probability is the ratio of the number of times a possible outcome can occur in a given event to the number of times that event occurs.
An ordinary die is tossed four times what is the probability of obtaining a number greater than 4 at least once?
1 - (2/3)4 = 1 - 16/81 = 65/81 ≈ 80.25%
When rolling 1 dice what is the probability of rolling number 4?
It is 1 (a certainty) if you roll it often enough. For a single roll of a fair die, the probability is 1/6.
What is the probability of rolling a prime number on one roll of a die?
3/6
What is the probability of rolling a number that is greater than 3 on a roll of a die?
It is 0.5
What is the probability of rolling an even number on a die and rolling an odd number on a second roll of the same die?
0.25 ( P = 0.5 each time)
If roll a twelve sided die what is the probability of rolling a prime number?
5 out of 12
What is the probability of rolling a number greater than 3 on one roll if a die?
It is 0.5
What is the probability of rolling a number greater than 3 on roll of a die?
One out of two
What are the probability of rolling a prime number on one roll of a die?
1 out of 2 if the die is six-sided.
The probability of rolling a number less than 6 on one roll of a die?
1 out of 2
What is the probability of rolling an even prime number with one roll of a die?
Since there is only one even prime, 2, the probability of rolling a 2 with one die is 1 in 6.
What is probability of rolling a number less than 6 on 1 roll of a die?
With a fair die it is 5/6.
How do you find the probability of rolling a number less than a certain number on one roll of a die?
The probability of rolling a number on a die is 1 out of the number of sides on the die. So, for a six sided die, the probability of rolling a 4 is 1/6. The probability of rolling a 4 or a 5 becomes 2/6 or 1/3. This is because there are two acceptable outcomes out of six. So when finding the probability of rolling a number less than x on a y sided die, it becomes x-1 / y. It is x-1 because the outcome is to roll less than the number, not less than or equal.
