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what is the difference in a probability that the student will spin a factor of 83 times in a row in the probability that a student will spin a number greater than 63 times in a row

What Is The Difference In A Probability That The Student Will Spin A Factor Of 83 Times In A Row In The Probability That A Student Will Spin A Number Greater Th class=

Sagot :

The number 8 has factors 1, 2, 4 and 8.

The only numbers in the spin greater than 6 are 7 and 8,

The probability that the student will spin a factor of 8 three times in a row is given by: (4/8)*(4/8)*(4/8) = (1/2)*(1/2)*(1/2) = 1/8

The probability that the student will spin a number greater than 6 three times in a row is given by (2/8)*(2/8)*(2/8) = (1/4)*(1/4)*(1/4) = 1/64

Then, the difference between these two probabilities is given by 1/8 - 1/64 = 7/64