Probability on biased dice

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Two dice are biased, so that the probability of getting a 6 on each dice equals 0.3. The two dice are rolled, and by using a tree diagram or otherwise, I would like to find:

1. P(two 6's)

2. P(exactly one 6)

How can this be achieved?

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1 Answer

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1. The probability of getting two 6's equals $0.3 \cdot 0.3 = 0.09$

2. The probability of getting one 6 equals $0.3 \cdot 0.7 + 0.7 \cdot 0.3 = 0.42$

                             

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