Answer:
1. 15/64
2. N = 2
Step-by-step explanation:
1. P(A or B) = P(A) + P(B) - P(A and B)
If we assume the probabilities are independent of one another, then ...
P(A or B) = P(A) + P(B) - P(A)P(B) = 1/8 + 1/8 - (1/8)(1/8)
= 8/64 + 8/64 - 1/64 = 15/64 . . . . probability of at least one striking gold
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2. The overline signifies a repeating digit.
[tex]0.\overline{3}=\frac{1}{3}\\\\0.\overline{6}=\frac{2}{3}\\\\0.\overline{3}\cdot 0.\overline{6}=\dfrac{1}{3}\cdot\dfrac{2}{3}=\dfrac{2}{9}=0.\overline{2}=0.\overline{N}\\\\N=2[/tex]
