Question

In a group of 10 batteries, 3 are dead. You choose 2 batteries at random.

Answer 1

Good (0)    |    P(x) -  .067     |       (3/10)(2/9)
Good (1)     |    P(x) - .467      |       (7/10)(3/9) + (3/10)(7/9) 
Good (2)    |    P(x) - .467      |       (7/10)(6/9)

The odds added up give 14/30 
= 0.46666

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