Molly makes 70% of her free throws. The random numbers below represent 20 trials of a simulator of two free throws, using the nu

Question

2 years ago

12

Molly makes 70% of her free throws. The random numbers below represent 20 trials of a simulator of two free throws, using the nu

mbers 9 through 0
38 38 21 50 64
71 66 42 47 90
80 82 29 98 27
87 89 89 93 03
let the numbers from --- to ----- represent a successful free throw.
let the numbers from ---- to ----- represent a missed free throw.
based on the simulated results, the probability that molly makes both free throws is
----- or ------%

Mathematics

1 answer:

beks73 [17] · Answer 1 · 2023-01-25T11:54:37+03:00

The random number simulator of Molly's throws is an illustration of probability.

The probability of making both free throws is 30%

<h3>How to determine the probability?</h3>

From the complete question, we understand that:

The simulator is based on numbers 0 to 9

Given that she makes 70% of her free throws, then it means that 7 of the 10 numbers would represent a successful throw, while the other three would represent a missed throw

So, we have:

Let the numbers from 0 to 6 represent a successful free throw.
Let the numbers from 7 to 9 represent a missed free throw.

From the random numbers, she has two successful free throws in:

21 50 64 66 42 03 --- 6 numbers of 20

The probability of making two free throws is then calculated as:

P = 6/20

Evaluate

P = 30%

Hence, the probability of making both free throws is 30%