Probability - Dice Experiment - Problem Solving

The video tutorial explains how to solve a probability problem involving two dice. It begins by introducing the problem of finding the probability of getting numbers on two dice whose product is 2. The tutorial then explains the structure of a die and the possible outcomes when rolling two dice. It introduces the probability formula, which is the ratio of favorable outcomes to total possible outcomes. The tutorial identifies the favorable outcomes where the product is 2 and concludes by simplifying the probability result to 1/18.

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

• To find the probability of getting a sum of 7 on two dice.

• To find the sum of numbers on two dice.

• To find the probability of getting a product of 2 on two dice.

• To find the difference between numbers on two dice.

How many sides does a standard die have?

• 10

• 4

• 6

• 8

What is the total number of possible outcomes when two dice are rolled?

• 48

• 24

• 12

• 36

Which formula is used to calculate the probability of an event?

• Number of favorable outcomes divided by total possible outcomes

• Number of total outcomes divided by favorable outcomes

• Sum of favorable and total outcomes

• Difference between favorable and total outcomes

Which of the following is a favorable outcome for the product to be 2?

• (2, 1)

• (1, 3)

• (4, 1)

• (3, 2)

How many favorable outcomes are there for the product to be 2?

• 2

• 3

• 4

• 1

What is the simplified probability of getting a product of 2 on two dice?

• 1/12

• 1/36

• 1/18

• 1/24