Like little kids, we all experience a happy rush, a delighted thrill, when going to play at an amusement park. Yet when an amusement park is abandoned and an eerie silence settles over the rusty and crusty decay, the setting seems to twist the atmosphere of enthusiastic excitement into a suffocating blanket of dread. The place takes on creepy vibes and freaks people out. In 2005, Hurricane Katrina devastated New Orleans and ripped the heart of fun and the amusement out of this park. Almost six years later, Six Flags in New Orleans is unnaturally silent, no lines and no laughter.
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1) If the probability of observing a car in 30 minutes on a highway is 0.95, what is the probability of observing a car in 10 minutes (assuming constant default probability)?
2) Four people need to cross a rickety rope bridge to get back to their camp at night… Unfortunately, they only have one flashlight and it only has enough light left for seventeen minutes. The bridge is too dangerous to cross without a flashlight, and it’s only strong enough to support two people at any given time. Each of the campers walks at a different speed. One can cross the bridge in 1 minute, another in 2 minutes, the third in 5 minutes, and the slow poke takes 10 minutes to cross. How do the campers make it across in 17 minutes?
3) You are at a party with a friend and 10 people are present including you and the friend… Your friend makes you a wager that for every person you find that has the same birthday as you, you get $1; for every person he finds that does not have the same birthday as you, he gets $2. would you accept the wager?
4) What is the probability of breaking a stick into 3 pieces and forming a triangle?
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