Final answer:
To calculate the odds in favor of drawing a pair of short white socks, additional information on the number of short white socks pairs is needed. Odds are calculated by the ratio of favorable to unfavorable outcomes, based on the total number of pairs of socks.
Step-by-step explanation:
The student's question is about calculating the odds in favor of drawing a pair of short white socks from a drawer that contains 30 pairs of socks in total. To answer this question accurately, we need additional information, specifically the number of pairs of short white socks present among the 30 pairs in the drawer. Knowing this, we can determine the probability of drawing a pair of short white socks.
Odds in favor are calculated by taking the number of favorable outcomes (number of pairs of short white socks) over the number of unfavorable outcomes (all other pairs of socks). If we assume there are 'w' pairs of short white socks, the odds in favor would be 'w' to '30 - w' (assuming 'w' is less than or equal to 30).
As an example, if there are 5 pairs of short white socks, the odds in favor of drawing a pair would be 5 to 25, or simplified, 1 to 5.