# Probability and Odds: Children, Coin Tossings, Snapdragon Offspring color

Please see attached file for full problem description.

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.

https://brainmass.com/math/basic-algebra/probability-odds-children-coin-tossing-592224

#### Solution Preview

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 / ...

#### 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.