A roulette wheel has the numbers 0, 1, 2, …, 36 where each of the 37 numbers is equally likely to be spun - HSC - SSCE Mathematics Standard - Question 20 - 2019 - Paper 1
Question 20
A roulette wheel has the numbers 0, 1, 2, …, 36 where each of the 37 numbers is equally likely to be spun.
If the wheel is spun 18 500 times, calculate the expected... show full transcript
Worked Solution & Example Answer:A roulette wheel has the numbers 0, 1, 2, …, 36 where each of the 37 numbers is equally likely to be spun - HSC - SSCE Mathematics Standard - Question 20 - 2019 - Paper 1
Step 1
Calculate the probability of spinning the number 8
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Answer
Since there are 37 numbers on the roulette wheel and each number is equally likely to be spun, the probability of spinning the number 8 is given by:
P(8) = rac{1}{37}
Step 2
Calculate the expected frequency
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Answer
To find the expected frequency of spinning the number 8 when the wheel is spun 18,500 times, we multiply the total number of spins by the probability:
