226k views
6 votes
I need help with number 7.

I need help with number 7.-example-1

1 Answer

7 votes

Answer:

A) 41%

Explanation:

the complement of at least one balloon being hit is no balloons being hit

thus, if "at least one balloon is hit" is false, "no balloons are hit" is true

1 - probability something is false = probability it is true

1 - probability no balloons are hit = probability at least one balloon is hit

probability no balloons are hit = P(A and B and C and D and E), where each event is a balloon is not hit

probability a balloon is hit = 1/10 = 0.1

probability a ballon is not hit = 1 - probability a balloon is hit = 1-0.1 = 0.9

P(A and B) = P(A) * P(B)

P(A and B and C and D and E) = 0.9*0.9*0.9*0.9*0.9 = 0.9^5 = 0.59049 = probability no balloons are hit

1 - probability no balloons are hit = probability at least one balloon is hit = 1-0.59049 = 0.40951 ≈41%

User GuavaMantis
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories