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Math SATs- Probability

A test by Oren Lahav.

Test Questions
  1. Question
    I'm throwing 8 dice up in the air. What's the probability that half land on an even number, while the other half land on 1?
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  2. Question
    What's the probability of getting this question wrong, if you're randomly guessing?
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  3. Question
    I'm drawing a picture, and I'm missing 2 spots I want to colour. There are 7 colours to choose from. What's the probability that both spots end up coloured oragne?
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  4. Question
    I have a special cheat die that has the side with 1 dot turned into a 5. I'm throwing it 3 times, what's the probability of getting a 5 three times?
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  5. Question
    There's a 60% that I get a stomach ache if I eat too much today. There's a 32% chance that I eat too much on any given day. If I get a stomach ache, there's a 10% I'll go to the doctor. What's the probability of me eating too much, getting a stomach ache, but not go to the doctor?
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  6. Question
    I'm playing a game where a machine randomly chooses a number between 1 and 100. If I draw 2 numbers, what's the probability of both numbers being even or of both numbers being divisible by 3?
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  7. Question
    The probability of a guy falling asleep while watching a chick-flick is 65%. The probability for girls is 15%. If there are 160 people in the theatre, out of which 50% are guys, how many people should fall asleep?
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  8. Question
    Based on the probability of guessing and getting a question wrong (out of 5 answers), if I guess all of the questions on this test, which has 8 questions, what's the probability of getting 100%?
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