The probability that Liu Yang makes a three-point shot in basketball is $10 \%$. For practice, Liu Yang will regularly shoot a series of these shots until she makes one. She's curious how many shots it will typically take her to get her first successful shot.

She simulated 30 trials of three-point shots where each shot had a 0.1 probability of being made, and in each trial, she counted how many shots it took to get the first successful shot. Here are her results:

Use her results to estimate the probability that it takes 11 or more shots to get her first successful shot.
Give your answer as either a fraction or a decimal.
$P(11$ or more shots $) \approx$ $\square$

Question

The probability that Liu Yang makes a three-point shot in basketball is $10 \%$. For practice, Liu Yang will regularly shoot a series of these shots until she makes one. She's curious how many shots it will typically take her to get her first successful shot.

She simulated 30 trials of three-point shots where each shot had a 0.1 probability of being made, and in each trial, she counted how many shots it took to get the first successful shot. Here are her results:

Use her results to estimate the probability that it takes 11 or more shots to get her first successful shot.
Give your answer as either a fraction or a decimal.
$P(11$ or more shots $) \approx$ $\square$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Count the number of trials where it took Liu Yang 11 or more shots to make her first successful three-point shot. ‖ ‖ step 2 ⋮ Divide the count from step 1 by the total number of trials to estimate the probability. ‖ ∻Answer∻ ⚹ The probability that it takes 11 or more shots to get her first successful shot is approximately [Insert the calculated probability here]. ⚹ ∻Key Concept∻ ⚹Estimating Probability from Empirical Data⚹ ∻Explanation∻ ⚹The probability of an event can be estimated by dividing the number of times the event occurs by the total number of trials in an empirical dataset.⚹◊What is the probability of Liu Yang needing 11 or more shots to make her first successful three-point shot in basketball?⍭ Generate me a similar question◊

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