Probability of Consecutive Free Throws

LeBron James presents a brain teaser about the probability of making 10 consecutive free throws. Sal explains the concept using LeBron's 75% free throw success rate, demonstrating how to calculate the probability of successive successes using exponentiation. The video generalizes the method for any free throw percentage, encouraging viewers to apply the concept to different scenarios.

What is LeBron James' career free throw percentage used in the video?

• 80%

• 60%

• 75%

• 90%

If 75% of LeBron Jameses make the first free throw, what percentage is expected to make the second one?

• 75%

• 56.25%

• 50%

• 100%

What mathematical pattern is used to calculate the probability of making multiple free throws in a row?

• Addition

• Subtraction

• Multiplication

• Division

What mathematical concept is introduced to simplify repeated multiplication?

• Logarithms

• Square Roots

• Exponents

• Fractions

What is the probability of LeBron making 10 consecutive free throws, rounded to the nearest hundredth?

• 0.15

• 0.06

• 0.20

• 0.10

What does the term 'percent' literally mean?

• Per thousand

• Per hundred

• Per unit

• Per ten

Tags

CCSS.L.1.6

CCSS.L.3.6

CCSS.L.K.5A

What is the significance of the root word 'cent' in 'percent'?

• It refers to 50

• It refers to 10

• It refers to 100

• It refers to 1000

How can the probability of making 'n' consecutive free throws be calculated for any player?

• By dividing the free throw percentage 'n' times

• By subtracting the free throw percentage 'n' times

• By multiplying the free throw percentage 'n' times

• By adding the free throw percentage 'n' times

If a player has a 60% free throw percentage, what is the probability of making 5 in a row?

• About 8%

• About 10%

• About 12%

• About 15%

What is the probability of making 10 consecutive free throws if the free throw percentage is 80%?

• 20.48%

• 16.77%

• 12.89%

• 10.74%