1.) Thus, rolling doubles with all three dice has a probability of 1/6 + 1/6 + 1/6 = 3/6 or 1/2. (including triples). Because the odds of rolling triples are 1/36, the odds of rolling doubles with no triples are 18/36 - 1/36 = 17/36.
3.)The likelihood of the event E = A B, namely drawing a King or a heart, is what we're interested in. P(E)/P(E') = (4/13)/(9/13) = 4/9. The odds of drawing a King or a heart are P(E)/P(E') = (4/13)/(9/13) = 4/9.
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Answer:
1.) Thus, rolling doubles with all three dice has a probability of 1/6 + 1/6 + 1/6 = 3/6 or 1/2. (including triples). Because the odds of rolling triples are 1/36, the odds of rolling doubles with no triples are 18/36 - 1/36 = 17/36.
3.)The likelihood of the event E = A B, namely drawing a King or a heart, is what we're interested in. P(E)/P(E') = (4/13)/(9/13) = 4/9. The odds of drawing a King or a heart are P(E)/P(E') = (4/13)/(9/13) = 4/9.
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