Question

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.

Answer 1

2 would be the answer because it's a prediction not an exact so you would predict that you would make 70 baskets out of 125
but if not a prediction it was be number 4 28 baskets in 50 throws

Answer 2

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:

         $\dfrac{70}{125}=\dfrac{14}{25}=0.56$

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:

    $\dfrac{14}{25}\times 125\\\\\\=14\times 5\\\\\\=70$

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

         $\dfrac{14}{25}\times 50\\\\\\=14\times 2\\\\\\=28$

             It will not be exact but just a prediction.