Probability and Odds: Children, Coin Tossings, Snapdragon Offspring color
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I need help on these few problems.They include indicating the probabilities and odds that a given family will have boys or girls, the odds of getting heads or tails in a coin toss, and the possible colors of the offspring of snapdragon flowers.
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Solution Summary
This solution provides ample explanations of how to calculate probability and odds of various problems and also indicates how different questions are similar to each other.
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10.
(a) S = { bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg }
Sample space consists of all possible (boy,girl) arrangements. There are 3 positions and each position has two possibilities - boy/girl, so total size of sample space is 2^3 or 8.
(b) E = { bgg, gbg, ggb }
(c) F = { bgg, gbg, ggb, ggg }
At least two daughters implies (Exactly two daughters + Exactly three daughters).
(d) G = { ggg }
(e) p(E) = the size of set representing event E / size of sample space
= 3/8
(f) p(F) = 4/8 = 1/2
(g) p(G) = 1/8
(h) o(E) = the size of set representing event E / ...
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