Games

/

Entertainment

Shooting Star

Braingle.com on

Published in Brain Teasers

Henry and Gretchen plan on sitting outside to look for shooting stars. They know from experience that if they watch for an hour, they will have a 90% chance of seeing a shooting star. It is a chilly night, though, so Gretchen says, "Let's only stay out for 10 minutes."

Henry says, "I was really hoping to see a shooting star tonight. If we are only out for 10 minutes, we will only have a 15% chance."

Gretchen replies, "Not true. We have a better chance than that."

Is Gretchen right? If so, what is the probability that they see a shooting star?


Solution:

Gretchen is right. The probability that they will see a shooting star is about 32%.

We know that the probability that they don't see a shooting star over the course of an hour is 10%. This is the product of not seeing a shooting star for 6 consecutive 10-minute periods. So if q is the probability of not seeing a shooting star over a 10-minute period, we can say: 0.1 = q^6
q = 0.6813

We know that the probability that they do see a shooting star is just 1 minus the probability that they don't, or 1 - 0.6813, which equals about 32%.

 

Today's brain teaser courtesy of Braingle.com.

 

Comments

blog comments powered by Disqus
 

--Ads from Google--

Social Connections

Comics

Beetle Bailey Reply All Cathy Arctic Circle Ken Catalino Barney & Clyde