The video tutorial introduces theoretical probability, explaining how to calculate the probability of simple events without conducting experiments. It covers examples such as the probability of a phone number ending in five, getting all heads in coin flips, and having a birthday in February. The tutorial emphasizes the importance of counting techniques and provides intuitive explanations for each example. It concludes by encouraging viewers to explore more complex probability problems.

What does theoretical probability rely on for its calculations?

• Favorable outcomes divided by total outcomes

• Experimental results

• Surveys and polls

• Historical data

What is the probability of a randomly chosen phone number ending in 5?

• 1/5

• 1/10

• 1/15

• 1/20

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CCSS.7.SP.C.7A

How many outcomes are possible when flipping three coins?

• 3

• 6

• 8

• 9

What is the probability of getting all heads when flipping three coins?

• 1/4

• 1/6

• 1/8

• 1/10

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CCSS.7.SP.C.7A

Using the multiplication principle, how many outcomes are there when flipping five coins?

• 40

• 16

• 25

• 32

What is the probability of all five coins landing heads?

• 1/25

• 1/32

• 1/40

• 1/50

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CCSS.HSS.CP.B.9

Why is the probability of having a birthday in February not 1/12?

• Because February is a special month

• Because February has more days

• Because February has fewer days

• Because people prefer other months

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CCSS.7.SP.C.7B

What is the probability of someone having a birthday in February during a non-leap year?

• 1/12

• 28/365

• 1/365

• 1/28

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CCSS.7.SP.C.7A

If the year was divided into two months, January with 1 day and February with 364 days, what would be the probability of a birthday in February?

• 1/364

• 1/365

• 364/365

• 1/2

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CCSS.7.SP.C.7A

What is the importance of considering the number of days in each month when calculating probabilities for birthdays?

• To ensure accuracy

• To comply with international standards

• To make it more complex

• To align with astrological signs