What is the probability of the second total being larger than the first?

The answer is 5/12.

What is the probability that the second roll is also a 6?

So the probability of getting a six from the first dice will be 1/6. The probability of getting a six from the second will also be 1/6. Thus the probability of getting two sixes is 1/6 multiplied by 1/6 which is 1/36.

What is the probability that the second number rolled is less than the first number rolled?

Once you’ve noticed that, it’s easy to generalize the result: if you roll two n-sided dice, there are n2 possible outcomes, out of which in (n2−n)/2 the second roll will be less than the first. Thus, the probability of the second roll being less than the first is n2−n2n2=n−12n.

What are the possible outcomes of rolling a dice twice?

There are 6 outcomes for the first roll and 6 for the second so the total number of possible outcomes is 6 \times 6 = 36. There are 6 of these in which the two numbers are equal: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).

How do you find the probability of rolling a die?

To determine the probability of rolling any one of the numbers on the die, we divide the event frequency (1) by the size of the sample space (6), resulting in a probability of 1/6. Rolling two fair dice more than doubles the difficulty of calculating probabilities. This is because rolling one die is independent of rolling a second one.

How do you find the probability of rolling two fair dice?

In other words, the frequency of each number is 1. To determine the probability of rolling any one of the numbers on the die, we divide the event frequency (1) by the size of the sample space (6), resulting in a probability of 1/6. Rolling two fair dice more than doubles the difficulty of calculating probabilities.

What is the probability of rolling a 2 in blackjack?

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 for 3, 4, 5, and 6.

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.