Question

Math

Posted 5 months ago

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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 $) \approx$ $\square$
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Answer from Sia

Posted 5 months ago

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.

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