Practical Data Science using Python - Probability Theory

The video tutorial introduces probability theory, explaining basic concepts and calculations using dice as an example. It covers the calculation of probabilities, including the probability of opposite events and conditional probability. The tutorial also discusses the multiplication and addition rules for calculating probabilities in complex scenarios.

What is the probability of rolling a dice and getting a side with three dots?

• 1/3 or 33.3%

• 1/2 or 50%

• 1/4 or 25%

• 1/6 or 16.7%

How is the probability of an event typically expressed?

• As a ratio

• As a whole number

• As a decimal or percentage

• As a fraction only

If the probability of an event is 16.7%, what is the probability of the opposite event?

• 16.7%

• 83.3%

• 50%

• 33.3%

What is conditional probability?

• Probability of an event not happening

• Probability of two events happening simultaneously

• Probability of an event happening given another event has occurred

• Probability of an event happening independently

In a bag with 5 green and 4 red balls, what is the probability of drawing a red ball if the first ball drawn was green and not replaced?

• 44%

• 50%

• 25%

• 37.5%

What is the probability of drawing a red ball second if the first ball drawn was red and not replaced?

• 25%

• 37.5%

• 50%

• 44%

What is the multiplication rule in probability used for?

• Calculating the probability of an event not happening

• Calculating the probability of a conditional event

• Calculating the probability of a single event

• Calculating the probability of two independent events happening together

If the probability of buying an apparel is 32% and an electronic item is 17%, what is the probability of buying both?

• 17%

• 32%

• 5.4%

• 49%

What is the probability of rolling a dice twice and getting a side with two spots followed by a side with five spots?

• 2.77%

• 16.7%

• 33.4%

• 5.54%

How do you calculate the probability of two consecutive events using the multiplication rule?

• Divide the probabilities of each event

• Add the probabilities of each event

• Multiply the probabilities of each event

• Subtract the probabilities of each event