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Instructions: answer the questions, check them carefully, and when you are sure they are all right, press submit. The number of correct answers will be displayed.

Question 1: How large is the sample set for throwing two die (die is the plural of dice) with 6 sides each?

Question 2: The sample set for tossing two coins is S = {HH, HT, TH, TT}. What is the probability of getting two heads?

Question 3: What is the probability of getting 2 heads out of 3 coins?

Question 4: 2 6-sided dice are thrown. Is the probability that a double is thrown more or less than the probability of throwing a 7?

Question 5: The probability of throwing 3 heads in a row is 1/8. In a trial, a maths student throws two heads in a row. What is the probability that the next coin throw will be a head?

Question 6: The probability that the next animal you see is a dog is 42%. that it is a cat is 22%. If half the other animals are female, what is the probability that the next animal you see is male, but not a cat or a dog?

Question 7: In a mini lottery, you have to choose two numbers out of 10. What is the probability of guessing the two numbers correctly?

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Question: The speed of a satellite in a circular orbit, radius 10,000 km, around the Earth, is $6.3 ⋅ 10^3 m s^{-1}$. What is the acceleration of freefall at any point in this orbit, in $m s^{-2}$?

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