The Adventure to the land of the sun

Probability Level pending

Raphael is going on an adventure to a island far far away. He brings a compass, three pieces of clothing, a flashlight, and a weapon. After sailing for a while, he encounters a green troll. The troll only likes flashlights, but will steal anything if it can get its hands on the object. The probability that the troll will steal the compass, 3 3 pieces of clothing, and the weapon is 2 7 \frac{2}{7} , 1 9 \frac{1}{9} , 3 19 \frac{3}{19} respectively. The probability that the troll steals the flashlight is the average of the probability of stealing the other items. Assuming that the troll cannot steal anything besides the given items, what is the probability that Raphael sails away from the troll with everything that he had originally? Express your answer as a decimal to the nearest thousandth.

0.26 0.5 0.456 0.342 0.234 0.254 0.32 0.495

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1 solution

Micah Gadbois
Jul 24, 2017

The average of 2/7, 1/9, and 3/19 is approximately 0.185. 2/7 + 1/9 + 3/19 + 0.185 is approximately 0.74. 1 - 0.74 = 0.26

This comment is totally unrelated to your question, but you desperately need to update the age on your bio.

Toby M - 3 years, 10 months ago

what do you mean?

Micah Gadbois - 3 years, 10 months ago

You need to update the part of your profile that says: "Hello, My name is Micah. I love math and physics. I am in 6th grade and am 11."

Toby M - 3 years, 10 months ago

I am in 6th grade and am 11, I also love math and physics. What's Wrong?

Micah Gadbois - 3 years, 10 months ago

I thought you were actually 13... Never mind.

Toby M - 3 years, 10 months ago

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