Exploring Simple Events and Complements in Probability

The video tutorial explains the concept of probability for simple events and their complements. It uses examples of selecting marbles of different colors from a bag to illustrate how to calculate probabilities and complements. The tutorial also covers how to express probabilities as fractions and reduce them. Key examples include calculating the probability of selecting green, orange, and blue marbles, and their respective complements.

What does the complement of an event represent?

• The likelihood of the event happening again

• The opposite outcome of the event

• The same outcome as the event

• The probability of the event in a different context

If there are 5 green marbles in a bag of 12, what's the probability of picking a green marble?

• 5/7

• 1/2

• 5/12

• 7/12

What is the probability of not selecting a green marble?

• 5/7

• 1/2

• 7/12

• 5/12

How do you find the total probability of an event and its complement?

• By adding them together to get 1

• By subtracting them from 1

• By multiplying them

• By dividing them

How do you calculate the probability of not selecting an orange marble?

• Multiply the number of orange marbles by two

• Divide the number of orange marbles by the total

• Subtract the number of orange marbles from the total

• Add the number of orange marbles to the total

After reducing, what is the probability of selecting an orange marble?

• 1/3

• 1/4

• 2/3

• 3/4

What is the reduced fraction representing the probability of not selecting an orange marble?

• 1/3

• 2/3

• 3/4

• 1/4

What does reducing fractions help illustrate in probability?

• The number of favorable outcomes

• The total number of outcomes

• The simplest form of the probability

• The complexity of the event

If a bag contains 4 blue marbles out of 12, what is the probability of picking a blue marble?

• 2/3

• 1/4

• 3/4

• 1/3

What is the complement probability of selecting a blue marble?

• 2/3

• 1/4

• 1/3

• 3/4