Complementary Events in Probability

The video tutorial introduces the concept of probability, focusing on fractions representing probabilities of events. It explains the numerator and denominator in probability fractions and introduces complementary events, which are the opposite of a given event. The tutorial provides examples using dice to illustrate complementary events and demonstrates how to calculate their probabilities. It concludes with real-world applications of complementary events, emphasizing the importance of understanding these concepts in practical scenarios.

What is the probability of an event expressed as?

• A fraction

• A decimal

• A whole number

• A percentage

In probability, what does the denominator of the fraction represent?

• Total favorable events

• Total possible events

• Total unfavorable events

• Total certain events

What is a complementary event?

• An event that sometimes happens

• The opposite of the event happening

• An event that never happens

• An event that always happens

How can you express the probability of not rolling a six on a die?

• As the probability of rolling a six

• As the probability of rolling a two, three, four, or five

• As the probability of rolling a one

• As the probability of rolling a seven

What do the probabilities of an event and its complement add up to?

• 0

• 2

• 0.5

• 1

If the probability of an event is 0.3, what is the probability of its complement?

• 0.3

• 0.5

• 1.3

• 0.7

Which of the following is a pair of complementary events?

• Sunny and rainy

• Win and lose

• Hot and cold

• Day and night

Why are 'sunny' and 'rainy' not considered complementary events?

• Because there are other weather conditions possible

• Because they can happen at the same time

• Because they are both rare events

• Because they are the same event

Which of the following is NOT a complementary event?

• Win and draw

• Sunny and cloudy

• Even and odd numbers

• Heads and tails

What is the complementary event of rolling an odd number on a die?

• Rolling a six

• Rolling a prime number

• Rolling a one

• Rolling an even number