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6B workbook p. 135

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For question 1e the answer we came up with is 1/2. But the answer key has 1/6. Can someone explain the discrepancy? Because according to the formula,

P(AorB)=P(A) +P(B), so since both cards occupy half of the space, not drawing both on the first try should be half. I can't come up with 1/6 as the key indicated. Someone please show the steps? Thanks!

We seem to have more discrepancies with the answer key on the probability section than anywhere else.

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