Roulette If you bet on the number 7 in roulette, the probability of winning on a single spin of the wheel is 1 38 . Suppose that you bet on 7 for 38 consecutive spins. a. Which of the following numbers do you think is closest to the probability of winning at least once: 1, .64, or .5? b. Calculate the probability of winning at least once.
Roulette If you bet on the number 7 in roulette, the probability of winning on a single spin of the wheel is 1 38 . Suppose that you bet on 7 for 38 consecutive spins. a. Which of the following numbers do you think is closest to the probability of winning at least once: 1, .64, or .5? b. Calculate the probability of winning at least once.
Solution Summary: The author determines which of the following numbers is closest to the probability of winning at least once in 38 consecutive spin if the number 7 has been betted upon.
Roulette If you bet on the number 7 in roulette, the probability of winning on a single spin of the wheel is
1
38
. Suppose that you bet on 7 for 38 consecutive spins.
a. Which of the following numbers do you think is closest to the probability of winning at least once: 1, .64, or .5?
b. Calculate the probability of winning at least once.
By considering appropriate series expansions,
ex · ex²/2 . ¸²³/³ . . ..
=
= 1 + x + x² +……
when |x| < 1.
By expanding each individual exponential term on the left-hand side
and multiplying out, show that the coefficient of x 19 has the form
1/19!+1/19+r/s,
where 19 does not divide s.
Let
1
1
r
1+
+ +
2 3
+
=
823
823s
Without calculating the left-hand side, prove that r = s (mod 823³).
For each real-valued nonprincipal character X mod 16, verify that
L(1,x) 0.
Chapter 6 Solutions
Finite Mathematics & Its Applications (12th Edition)
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
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