Probability and Expected Outcomes

The video tutorial covers theoretical probability, using examples like spinners, coins, and games to explain concepts. It discusses calculating probabilities in various scenarios, including real-life applications like store discounts and marathon races. The tutorial emphasizes understanding probability through practical examples and mathematical calculations.

What is theoretical probability?

• The likelihood of an event based on personal opinion.

• The likelihood of an event based on historical data.

• The likelihood of an event based on mathematical reasoning.

• The likelihood of an event based on actual experiments.

If a spinner has 8 equal sections, what is the probability of landing on a yellow section if there are 2 yellow sections?

• 1/8

• 1/4

• 1/2

• 1/6

What is the probability of a fair coin landing tails up?

• 1/3

• 1

• 1/4

• 1/2

If 250 contestants play a game with a fair coin, how many are expected to win if they need tails to win?

• 150

• 125

• 200

• 100

What is the probability of correctly guessing which of 5 boxes contains a tennis ball?

• 1/5

• 1/4

• 1/3

• 1/2

If 60 contestants play the box guessing game, how many are expected to win?

• 20

• 10

• 15

• 12

What is the probability of rolling a number greater than 10 on a 12-sided die?

• 1/4

• 1/2

• 1/3

• 1/6

If a 12-sided die is rolled 200 times, how many times would you expect to roll a number greater than 10?

• 40

• 30

• 20

• 50

How many different ways can the sum of two 6-sided dice equal 5?

• 5

• 4

• 3

• 2

If two 6-sided dice are rolled 180 times, how many times should the sum be expected to equal 5?

• 15

• 10

• 20

• 25