if a group of small chickens lay 326 eggs in a year & a group of large chickens lay 123 eggs in a year, how many times more likely is a large chicken to lay an egg than a small chicken if the small chickens constitute 72.4% of all chickens & large chickens constitute 12.6%?
Thank you for your time & brain power :)
+33661 Suppose you have 1000 chickens; then 724 of them are small and 126 are large (I guess the rest are medium!).
Number of eggs per small chicken per year = 326/724
Number of eggs per large chicken per year = 123/126
Number of eggs per large chicken per year/Number of eggs per small chicken per year = (123/126)/(326/724)
$${\frac{\left({\frac{{\mathtt{123}}}{{\mathtt{126}}}}\right)}{\left({\frac{{\mathtt{326}}}{{\mathtt{724}}}}\right)}} = {\frac{{\mathtt{7\,421}}}{{\mathtt{3\,423}}}} = {\mathtt{2.167\: \!981\: \!302\: \!950\: \!628\: \!1}}$$
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+33661 Suppose you have 1000 chickens; then 724 of them are small and 126 are large (I guess the rest are medium!).
Number of eggs per small chicken per year = 326/724
Number of eggs per large chicken per year = 123/126
Number of eggs per large chicken per year/Number of eggs per small chicken per year = (123/126)/(326/724)
$${\frac{\left({\frac{{\mathtt{123}}}{{\mathtt{126}}}}\right)}{\left({\frac{{\mathtt{326}}}{{\mathtt{724}}}}\right)}} = {\frac{{\mathtt{7\,421}}}{{\mathtt{3\,423}}}} = {\mathtt{2.167\: \!981\: \!302\: \!950\: \!628\: \!1}}$$
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