Asked by Kimberly Zayas-Maciel on Jun 29, 2024
Verified
For a particular miniature golf hole,the chance of getting a hole-in-one is only 18%.The chance of sinking any subsequent putt is 50%.Estimate the average number of putts for this hole.(NOTE: A hole-in-one counts as one putt.) Use 30 runs in your simulation.
A) About 3.5 putts
B) About 4.5 putts
C) About 4.0 putts
D) About 2.5 putts
E) About 1.5 putts
Hole-in-one
A golfing term that describes the act of a golfer hitting the ball from the tee into the hole with just one stroke.
Subsequent Putt
A putt that follows an initial putt in the game of golf, attempting to get the ball into the hole.
Average Number
The value found by adding all the numbers in a set together and then dividing by the count of those numbers, often used in statistical analysis.
- Understand the principle of expected value in simulations.
Verified Answer
ZK
Zybrea KnightJul 05, 2024
Final Answer :
D
Explanation :
The average number of putts can be estimated by simulating 30 runs. Initially, there's an 18% chance for a hole-in-one, which counts as one putt. If the first putt is missed, the chance of sinking the putt increases to 50% for all subsequent attempts. By simulating or calculating based on these probabilities, the average tends towards approximately 2.5 putts, considering the initial lower probability of success followed by the higher probability of success for subsequent putts.
Learning Objectives
- Understand the principle of expected value in simulations.