What is the probability that if you threw 20 darts,

ebnspmia0jj

ebnspmia0jj

Answered question

2022-02-13

What is the probability that if you threw 20 darts, that 8 of them would hit the same area?

Answer & Explanation

Rihanna Lester

Rihanna Lester

Beginner2022-02-14Added 12 answers

Step 1
If we have an equal chance of hitting all the numbers on the board, and we are guaranteed that we hit the board, then each number has a 1 in 20 chance of being hit.
Pr(n)=120,
n=1, 2,,20
Let X be the number of darts (out of 20) that hit n. Then
XB(20, 120)
Therefore, the probability that 8 darts hit n is
Pr(X=8)=(208)(120)8(1920)12
2.659×106
n=1, 2,,20
To find the probability that 8 darts hit the same number, for all numbers n=1, 2,,20, just multiply Pr(X=8) by 20
Pr(8 darts hit one area)=8×Pr(X=8)
8×2.659×106
2.13×105=0.00213%

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?