Question

1) Define theoretical probability.

possible outcomes times favorable outcomes


favorable outcomes times possible outcomes


favorable outcomes divided by possible outcomes


possible outcomes divided favorable outcomes

2) On a spinner with equal pie shapes of red, blue, green, yellow, and orange. What is the theoretical probability you will land on blue when you spin?
4/5


5


1


1/5


3) In a sample of 1,000 coffee drinkers, 450 said they like the taste of the new coffee. Predict how many out of 10,000 will like the new coffee.

4500


450


100


45

Answer 1

The correct answer is: favorable outcomes divided by possible outcomes. The theoretical probability is a mathematical concept that represents the likelihood of an event occurring based on the ratio of favorable outcomes to the total number of possible outcomes.

The correct answer is: 1/5. Since there are five equally-sized pie shapes on the spinner, and only one of them is blue, the probability of landing on blue when you spin is 1 out of 5 or 1/5.

To predict how many out of 10,000 coffee drinkers will like the new coffee, we can use the concept of proportion. Since we know that 450 out of 1,000 coffee drinkers like the new coffee, we can set up the proportion:

450/1,000 = x/10,000

Cross-multiplying, we get:

1,000x = 450 * 10,000

Simplifying further:

1,000x = 4,500,000

Dividing both sides by 1,000:

x = 4,500

Therefore, out of 10,000 coffee drinkers, we can predict that approximately 4,500 will like the new coffee.