Exploring Basic Concepts of Probability

The video tutorial covers fundamental probability concepts, including calculating probabilities with dice and cards, understanding independent and dependent events, and exploring conditional probability. It also explains the birthday paradox and debunks the gambler's fallacy, emphasizing the importance of understanding probability in various contexts.

What is the probability of rolling a one with a fair six-sided die?

• 1/3

• 1/6

• 1/2

• 1/4

Tags

CCSS.7.SP.C.7A

If you roll a die, what is the probability of getting either a one or a six?

• 1/6

• 2/3

• 1/2

• 1/3

When two dice are thrown, what is the probability that their sum equals six?

• 1/18

• 5/36

• 1/6

• 1/12

If a coin is flipped twice, what is the probability of getting heads both times?

• 1/16

• 1/2

• 1/4

• 1/8

In a deck of cards, what is the probability of drawing a heart or a black card?

• 1/8

• 1/2

• 3/4

• 1/4

Tags

CCSS.HSS.CP.B.7

What is the probability of not getting a six when a die is thrown three times?

• 5/6

• 125/216

• 91/216

• 1/6

What is the probability of drawing an ace followed by another ace from a deck of cards?

• 1/221

• 1/169

• 1/256

• 1/132

What is the probability of drawing the Ace of Diamonds and then a black card?

• 1/13

• 1/26

• 1/52

• 1/102

What is the probability that at least two people in a room of 25 share the same birthday?

• 0.365

• 0.431

• 0.561

• 0.25

If a fair coin is flipped five times and comes up heads each time, what is the probability it will be heads on the sixth flip?

• 1/6

• 5/6

• 1/2

• 0

Tags

CCSS.HSS.CP.A.5