Probability of Rolling Doubles on Two Dice

The video tutorial explains how to calculate the probability of rolling doubles with two six-sided dice. It begins by considering all possible outcomes and uses a grid to visualize them. The total number of outcomes is calculated as 36, and the outcomes that result in doubles are identified as 6. The probability of rolling doubles is then calculated as 1/6. An alternative reasoning method is also provided, emphasizing the 1/6 chance of the second die matching the first.

What is the main objective of the problem discussed in the video?

• To find the probability of rolling a sum of 12 with two dice.

• To find the probability of rolling doubles with two six-sided dice.

• To find the probability of rolling a sum of 7 with two dice.

• To find the probability of rolling a single number with one die.

How many outcomes are possible when rolling the first die?

• 6 outcomes

• 4 outcomes

• 5 outcomes

• 7 outcomes

What does each cell in the grid represent?

• A possible outcome of rolling two dice.

• A possible outcome of rolling a single die.

• A possible outcome of rolling four dice.

• A possible outcome of rolling three dice.

How many total outcomes are there when rolling two six-sided dice?

• 12 outcomes

• 24 outcomes

• 36 outcomes

• 48 outcomes

How many outcomes result in rolling doubles?

• 4 outcomes

• 5 outcomes

• 6 outcomes

• 7 outcomes

What is the probability of rolling doubles with two six-sided dice?

• 1/6

• 1/4

• 1/2

• 1/3

What is the total number of outcomes that satisfy the condition of rolling doubles?

• 6 outcomes

• 5 outcomes

• 7 outcomes

• 4 outcomes

What is another way to reason the probability of rolling doubles?

• By considering the difference between the dice.

• By considering the outcome of the first die and matching it with the second.

• By considering the product of the dice.

• By considering the sum of the dice.

What is the chance that the second die matches the first die?

• 1/6

• 1/4

• 1/2

• 1/3

What is the probability of the second die showing the same number as the first die?

• 1/2

• 1/3

• 1/4

• 1/6