suppose Gabe , an elementary school student , has just finished dinner with his mother , judy. Eyeing the nearby cookie jar, Gabe asks his mother if he can have cookie foe dessert. She tells Gabe that she needs to check his backpack to make sure that he finished his homework. Gabe cannot remember where he left his backpack, but he knows for sure that he did not complete his homework and will not be allowed to eat a cookie. Gabe believes his only option is to quickly steal a cookie while his mother is out of the room. Judy then leaves the room to look for Gabes backpack. Assume that judy could return at any time in the next 60 seconds with equal probability . For the first 20 seconds, Gabe sheepishly wonders if he will get caught trying to grab a nearby cookie. After waiting and not seeing his mother , Gabe decides that he needs a cookie and begins to take one from the jar. Assuming it takes Gabe 30 seconds to grab a cookie from the jar and devour it without a trace, what is the probability that his mother returns in time to catch Gabe stealing a cookie? Please round your answer to the nearest two decimal places.
suppose Gabe , an elementary school student , has just finished dinner with his mother , judy. Eyeing the nearby cookie jar, Gabe asks his mother if he can have cookie foe dessert. She tells Gabe that she needs to check his backpack to make sure that he finished his homework. Gabe cannot remember where he left his backpack, but he knows for sure that he did not complete his homework and will not be allowed to eat a cookie. Gabe believes his only option is to quickly steal a cookie while his mother is out of the room.
Judy then leaves the room to look for Gabes backpack. Assume that judy could return at any time in the next 60 seconds with equal probability . For the first 20 seconds, Gabe sheepishly wonders if he will get caught trying to grab a nearby cookie. After waiting and not seeing his mother , Gabe decides that he needs a cookie and begins to take one from the jar.
Assuming it takes Gabe 30 seconds to grab a cookie from the jar and devour it without a trace, what is the probability that his mother returns in time to catch Gabe stealing a cookie? Please round your answer to the nearest two decimal places.
P(Gabe gets caught) =
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
