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

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%.

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:

`(70)/(125)=(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:

`(14)/(25)* 125\\\\\\=14* 5\\\\\\=70`

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

`(14)/(25)* 50\\\\\\=14* 2\\\\\\=28`

It will not be exact but just a prediction.