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Select all that apply. Suppose you throw wadded sheets of paper at a wastebasket 10 feet away, and you make 14 out of 25 shots. Which of the following is true? 1. The theoretical probability of making a basket is 50%. 2. You would predict that you would make 70 baskets in 125 trials. 3.The experimental probability of making a basket is 56%. 4. You will make 28 baskets in 50 throws.

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Answer:

The correct options are:

1.   The theoretical probability of making a basket is 50%.

2.   You would predict that you would make 70 baskets in 125 trials.

3.  The experimental probability of making a basket is 56%.

Step-by-step explanation:

  • The theoretical probability of making a basket is: 50%

( since either a basket will be made or not.

so there are just 2 outcomes.

Hence, probability=1/2=0.5

and 0.5=50% )

  • Also, it was given that you would make 70 baskets in 125 trials.

This means that the experimental probability of making basket is:

         [tex]\dfrac{70}{125}=\dfrac{14}{25}=0.56[/tex]

Hence, the experimental probability of making a basket= 56%

  • Also, if there are 125 trials then the predicted number of times the basket will be made is:

    [tex]\dfrac{14}{25}\times 125\\\\\\=14\times 5\\\\\\=70[/tex]

  • and if there are 50 trials then the predicted number of times the basket will be made is:

         [tex]\dfrac{14}{25}\times 50\\\\\\=14\times 2\\\\\\=28[/tex]

             It will not be exact but just a prediction.

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