Probability Experiments and Simulations

This lesson explores the application of probability to make informed decisions. It includes experiments with a number cube, ball patterns, and a simulation with mixed nuts to understand probability models. The lesson concludes with a game involving bag selection based on probability.

What is the theoretical probability of rolling a specific number on a fair six-sided number cube?

• 1/2

• 1/3

• 1/6

• 1/12

If a number cube is rolled 500 times, how many times would you expect to roll an odd number based on theoretical probability?

• 167 times

• 83 times

• 250 times

• 333 times

In the number cube experiment, what was the total frequency of odd numbers observed?

• 300

• 272

• 288

• 228

What method was used to simulate the ball experiment when a physical cup was not available?

• Using a dice

• Using a random number generator

• Using a spinner

• Using a coin flip

In the ball experiment, what were the observed frequencies of the two patterns?

• 10 and 10

• 14 and 16

• 9 and 11

• 20 and 0

What is the main goal of the cashew percentage simulation?

• To determine the total number of nuts in a bag

• To identify the brand of the mixed nuts

• To calculate the average weight of a cashew

• To find out which bag has the highest percentage of cashews

In the cashew simulation, what does a 'success' represent?

• Drawing a bead of any color

• Drawing a brown bead

• Drawing a red bead

• Drawing two beads at once

What is the winning condition for choosing bag A in the game with slips of paper?

• Drawing a number greater than 50

• Drawing an even number

• Drawing a power of two

• Drawing a prime number

What is the winning condition for choosing bag B in the game with slips of paper?

• Drawing an odd number

• Drawing a prime number

• Drawing a number less than 10

• Drawing a power of two

Why is empirical evidence important in making decisions in probability experiments?

• It simplifies the experiment

• It eliminates all risks

• It guarantees a win

• It provides data to make informed decisions