Expected number of ratio of girls vs boys birth NumberOfChilden Probability Girls Boys 1 0 5 1 0 2 0 25 1 1 2 0 25 0 2 In this case the total expected children is more easily calculated Expected girls from one couple${}=0 5\cdot1 + 0 25\cdot1 =0 75$
How to resolve the ambiguity in the Boy or Girl paradox? The net effect is that even if I don't know which one is definitely a boy, the other child can only be a girl or a boy and that is always and only a 1 2 probability (ignoring any biological weighting that girls may represent 51% of births or whatever the reality is)
Combinatorics - Arranging boys girls - Cross Validated part (b) - the chances of a girls stand next to a boy is 1 the chances of a boy to stand next to a girl is 1 minus the chance not to stand next to a girl the answer is 1 - (answer from part 1) : 1 - 3 10 = 7 10 not sure this is the correct answer Thanks in advance for the help
probability - What is the expected number of children until having at . . . $\begingroup$ That can't be right, and you can see that by noting that the MINIMUM number of children is 2 If the expected number of children = the minimum number of children, it must be that there is no possibility of having more children than the minimum number - otherwise the expected number of children would be greater than the minimum number
normal distribution - What is the probability that a girl is taller . . . "Given that boys' heights are distributed normally $\mathcal{N}(68$ inches, $4 5$ inches$)$ and girls are distributed $\mathcal{N}(62$ inches, $3 2$ inches$)$, what is the probability that a girl chosen at random is taller than a boy chosen at random?"
probability - What is the expected number of children until having the . . . You can consider starting from position 1 for the difference of boys girls and move up and down randomly with 50% probability until reaching zero These type of walks have been described here: What is the distribution of time's to ruin in the gambler's ruin problem (random walk)? and based on the results in those answers we can see that the