Answers and Explanation:
8. It is a fair coin, meaning it has 2 equal landing possibilities. The probability of the coin landing on Head or Tail is equal, so the answer is 1/2
250 contestants playing, means the coin is flipped 250 times. Multiply the probability of it landing on Tails by the number of contestants.
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. Therefore 125 contestants are expected to win.
10. The sample space is made of 1-12, there are 12 numbers. Probability is equal to number of outcomes/ sample space
a. P(x>10) = 2/12 = 1/6
This is because there are 2 numbers greater than 10. They are 11 and 12.
b. P(x<5) = 4/12 = 1/3
There are 4 numbers smaller than 5 (1,2,3,4)
c. P(4,6,9) = P(x=4) + P(x=6) + P(x=9)
=> 1/12 + 1/12 + 1/2 = 1/4
It is 1/12 for all three because there's only one of each number in the sample space. We add because in probability 'OR' means 'ADD'.
Now multiply your probability by the number of times the solid was rolled for your final answer.
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50 times is the final answer