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On his recent free-throw attempts, Lamar made $4$ shots and missed $6$ shots. Considering this data, how many of his next $20$ free-throw attempts would you expect Lamar to miss? $\newline$ ____ misses $\newline$

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Full solution

Q. On his recent free-throw attempts, Lamar made

4

shots and missed

6

shots. Considering this data, how many of his next

20

free-throw attempts would you expect Lamar to miss?

\newline

____ misses

\newline

Calculate Total Attempts: Step $1$ : Calculate the total number of free-throw attempts Lamar made recently. $\newline$ Lamar made $4$ shots and missed $6$ shots. $\newline$ Total attempts = $4$ (made) + $6$ (missed) = $10$ attempts.
Determine Missing Probability: Step $2$ : Determine the probability that Lamar misses a shot. $\newline$ Probability of missing = Number of misses / Total attempts. $\newline$ Probability of missing = $\frac{6}{10} = 0.6$ .
Calculate Expected Misses: Step $3$ : Calculate the expected number of misses in the next $20$ attempts. $\newline$ Expected misses $=$ Probability of missing $\times$ Number of new attempts. $\newline$ Expected misses $= 0.6 \times 20 = 12$ misses.

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