Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Through ten games of basketball this season, Amelia has made 
5% of her free-throws. Which word or phrase describes the probability that Amelia will hit her next free throw?
likely
impossible
an equal chance or 50-50
unlikely

Through ten games of basketball this season, Amelia has made 5% 5 \% of her free-throws. Which word or phrase describes the probability that Amelia will hit her next free throw?\newlinelikely\newlineimpossible\newlinean equal chance or 505050-50\newlineunlikely

Full solution

Q. Through ten games of basketball this season, Amelia has made 5% 5 \% of her free-throws. Which word or phrase describes the probability that Amelia will hit her next free throw?\newlinelikely\newlineimpossible\newlinean equal chance or 505050-50\newlineunlikely
  1. Amelia's Success Rate: Amelia has made 5%5\% of her free-throws through ten games. To understand what this means for the probability of her making the next free throw, we need to consider what a 5%5\% success rate indicates.
  2. Interpreting 5%5\% Success Rate: A 5%5\% success rate means that out of every 100100 free throws, Amelia is expected to make 55. This is a very low success rate.
  3. Probability Calculation: In terms of probability, if Amelia has a 5%5\% success rate, the probability of her making any given free throw is 0.050.05 (which is 5100\frac{5}{100} when converted to a decimal).
  4. Likelihood of Next Free Throw: Based on this probability, we can describe the likelihood of Amelia making her next free throw. The options are: likely, impossible, an equal chance or 5050-5050, and unlikely.
  5. Conclusion: Since a 5%5\% success rate is quite low, it is not "likely" nor is it "impossible" as she has made some shots. It is also not "an equal chance or 5050-5050" because that would imply a success rate of 50%50\%. Therefore, the correct description of the probability that Amelia will hit her next free throw is "unlikely".

More problems from Find probabilities using the binomial distribution