Probability of Rolling Two Dice

The video tutorial explains how to calculate the probability of rolling two dice and getting a sum of seven. It begins by defining the total number of outcomes using the counting principle, which results in 36 possible outcomes. The tutorial then identifies the favorable outcomes that result in a sum of seven, which are six in total. The probability is calculated as 6/36, simplified to 1/6. The video also demonstrates how to express this probability as a decimal and a percentage. Finally, it discusses the concept of probability within the range of 0 to 1 and explains that a probability of 1/6 means the event is unlikely but not impossible.

What is the total number of faces on a standard die?

• 10

• 4

• 6

• 8

How many total outcomes are possible when rolling two dice?

• 48

• 24

• 36

• 12

Which of the following pairs of dice rolls results in a sum of seven?

• 3 and 4

• 3 and 3

• 2 and 4

• 1 and 5

What is the simplified probability of rolling a sum of seven with two dice?

• 1/6

• 1/4

• 1/3

• 1/2

What is the decimal representation of the probability of rolling a sum of seven?

• 0.2500

• 0.1667

• 0.3333

• 0.1250

How do you convert a probability from a fraction to a percentage?

• Divide by 10

• Multiply by 100

• Multiply by 10

• Divide by 100

What does a probability of zero percent indicate about an event?

• It is certain to occur

• It is likely to occur

• It is unlikely to occur

• It is impossible to occur

If the probability of an event is 100%, what does it mean?

• The event is rare

• The event is certain

• The event is unlikely

• The event is impossible

What is the expected number of times a sum of seven will occur if two dice are rolled six times?

• Zero times

• One time

• Two times

• Three times

Where does the probability of rolling a sum of seven fall on the probability scale?

• Between 0.5 and 0.75

• Between 0.25 and 0.5

• Between 0.75 and 1

• Between 0 and 0.25