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Lebron James's Free Throw % is 75%

What is the probability that he makes 6 Free Throws in a row?

Answer as a decimal rounded to 2 places.

User Kevin Low
by
6.1k points

2 Answers

4 votes

Final answer:

The probability that LeBron James makes 6 free throws in a row, given his 75% free throw percentage, is 0.18 when rounded to two decimal places.

Step-by-step explanation:

The question asks for the probability that LeBron James, with a 75% free throw shooting percentage, makes 6 free throws in a row. To find this probability, we raise his single-shot free throw percentage to the power of 6, since each shot is an independent event. The calculation is as follows:

Probability of making 6 free throws in a row = P(C)6 = 0.756 = 0.178.

Therefore, the probability that LeBron James makes 6 free throws in a row, rounded to two decimal places, is 0.18.

User Dijxtra
by
5.3k points
11 votes

Answer: 0.18

Step-by-step explanation:

From the question, we are informed that Lebron James's Free Throw % is 75%. The probability that he makes 6 Free Throws in a row would be gotten by multiplying 75% six times. This will be:

= 75% × 75% × 75% × 75% × 75% × 75%

= 3/4 × 3/4 × 3/4 × 3/4 × 3/4 × 3/4

= 729/4096

= 0.18

User Guillermo Luque
by
6.0k points