dice

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,,8,9,10,11,12}. Find the probability of rolling a number less than 6. P(X < 6) = P (rolling 1-5) P(X < 6) = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 P(X < 6) = 5/6

Oliver rolls a fair six-sided dice and spins a fair three-sided spinner with equal-sized sections labelled 1,4 and 8. He adds the results together. What is the probability that the total he scores is greater than 8? Give your answer as a fraction in its simplest form. Setup the sample space...

Use our 2 dice calculator:

what’s the probability of rolling a 5 and then rolling a number less then 2 Roll a 5: There's only one 5 on a six sided die P(X = 5) = 1/6 A number less than 2 is only 1: P(X < 2) = P(X = 1) P(X = 1) = 1/6 Since each event is independent, we multiply: P(X = 5) * P(X = 1) = 1/6 * 1/6 P(X = 5)...

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,,8,9,10,11,12}. Find the probability of rolling a number less than 6. We want a {1, 2, 3, 4, 5} P(X < 6) = 5/12

An eccentric millionaire decided to give away $1,000,000 if Janelle took one die and rolled a "4". He wanted Janelle to have a better than 1 in 6 chance of winning, so before she rolled the die he told her that she could roll the die 3 times. If any roll was a "4", she would win the million...

Larry is rolling two dice. His dad told him that he can skip doing the dishes that night unless he rolls double sixes. What is the probability that Larry will be able to skip doing the dishes? P(6, 6) = 1/6 * 1/6 = 1/36 P(Not 6,6) = 1 - 1/36 = 35/36

A pair of dice are rolled. Find the probability for P(Not 2 or Not 12). P(Not 2 or Not 12) = 1 - P(2) - P(12) P(Not 2 or Not 12) = 1 - 1/36 - 1/36 P(Not 2 or Not 12) = 34/36 P(Not 2 or Not 12) = 17/18

a 12 sided die is rolled find the probability of rolling a number greater than 7 We assume this is a fair die, not loaded. This means each side 1-12 has an equal probability of 1/12 of being rolled. The problem asks, P(Roll > 7) Greater than 7 means our sample space is {8, 9, 10, 11, 12} If...

Sarah rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a factor of 6. Factors of 6 are {6, 12} P(Roll a 6) = 5/36 P(Roll a 12) = 1/36 P(Roll a 6 or Roll a 12) = P(Roll a 6) + P(Roll a 12) P(Roll a 6 or Roll a 12) = 5/36 + 1/36 P(Roll a 6 or...

A 6-sided die is rolled once. What is the probability of rolling a number less than 4? Using our one dice calculator, we get: P(N < 4) = 1/2

A dice has six sides. The dice is rolled once. What is the probability that a six will be the result. P(6) = 1/6

If two standard dice are rolled, what is the probability that the sum is 3? Using our 2 dice calculator, we get: 1/18

Probability of getting 4 or 6 when rolling a dice P(4 or 6) = P(4) + P(6) P(4 or 6) = 1/6 + 1/6 P(4 or 6) = 2/6 We can simplify this. We type this fraction into our search engine, choose simplify, and we get: P(4 or 6) = 1/3

A Pairs of fair dice is tossed. What is the probability of not getting a sum 7 or 8? Not a 7 or 8 means 2 - 6 or 9 - 12 Using our 2-dice calculator, P(2 - 6) = 5/12 Using our 2-dice calculator, P(9 - 12) = 5/18 Since the sum could be either of these, we add probabilities: P(Not a 7 or 8) = P(2...

Erik is rolling two regular six-sided number cubes. What is the probability that he will roll an even number on one cube and a prime number on the other? P(Even on first cube) = (2,4,6) / 6 total choices P(Even on first cube) = 3/6 P(Even on first cube) = 1/2 <-- Using our fraction simplify...

Write a sample space for rolling a dice twice Each die roll has 6 possible outcomes. So 2 die-rolls has 6^2 = 36 possible outcomes: 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6

2 fair sided die are rolled. How many ways can the dice be rolled to sum exactly 6? Using our 2 dice calculator, we get the following options: 2,4 3,3 4,2 1,5 5,1 The probability of rolling a sum of 6 is 5/36

6 sided die probability to roll a odd number or a number less than 6 First, we'll find the set of rolling an odd number. From this dice calculator, we get: Odd = {1, 3, 5} Next, we'll find the set of rolling less than a 6. From this dice calculator, we get: Less than a 6 = {1, 2, 3, 4, 5} The...

Two dice are rolled. Enter the size of the set that corresponds to the event that both dice are odd. If dice 1 is odd, then we have the following face values: {1, 3, 5} If dice 2 is odd, then we have the following face values: {1, 3, 5} From this 2 dice odds face link, we see that the size of...