Estimating Probabilities and Data Analysis

This lesson focuses on estimating probabilities by collecting data. It begins with an introduction to the concept, followed by a carnival game example to illustrate probability. The results of the game are analyzed to understand probability estimation. The lesson concludes with an example using animal crackers to further explain probability estimation.

What is the main focus of estimating probabilities by collecting data?

• Using data to predict the likelihood of an event

• Avoiding the use of data in predictions

• Predicting the exact outcome of an event

• Ensuring events happen as expected

In the carnival game, what is the condition for winning a prize?

• The sum of spins is less than 5

• The sum of spins is exactly 5

• The sum of spins is greater than or equal to 5

• The sum of spins is an even number

Which sum occurred most frequently in the carnival game results?

• Sum of 3

• Sum of 8

• Sum of 5

• Sum of 6

What is the concept of 'mode' in the context of the carnival game results?

• The average of all sums

• The sum that occurred the most

• The sum that occurred the least

• The sum that never occurred

What is the range of possible sums when playing the carnival game?

• 4 to 10

• 1 to 8

• 2 to 8

• 3 to 9

What is the probability of selecting a lion from the jar of animal crackers?

• 1/20

• 1/10

• 1/5

• 1/2

How many monkeys are there in the sample of 20 animal crackers?

• 5

• 4

• 3

• 2

What is the estimated probability of selecting a penguin or a camel?

• 1/2

• 1/5

• 1/4

• 1/10

If there are no rabbits in the sample, what is the probability of selecting one?

• 0%

• 100%

• 10%

• 50%

What is the estimated number of elephant crackers in a jar of 500?

• 200

• 125

• 100

• 150