Question

Help on 1 and 2 please!

Answer 1

1. 15/64

2. N = 2

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.

`0.\overline{3}=(1)/(3)\\\\0.\overline{6}=(2)/(3)\\\\0.\overline{3}\cdot 0.\overline{6}=(1)/(3)\cdot(2)/(3)=(2)/(9)=0.\overline{2}=0.\overline{N}\\\\N=2`