The Springfield Symphony Orchestra (SSO) is planning three performance

Official Explanation

The total number of musicians, not counting soloists, whom the SSO must contract for the entire spring season is 97.

Explanation

The most woodwinds players that the SSO needs is 16, for Kwan’s Concerto for 3 Violins and for Limoges’ Symphony #7. The most brass players that it needs is 16, also for Limoges’ Symphony #7. The most percussion players that it needs is 3, again for Limoges’ Symphony #7. The most string players it needs is 62, for Kwan’s Concerto for 3 Violins. The total number of musicians, not counting soloists, whom the SSO must contract for the entire spring season is the sum of these four numbers, which is 97.

Answer: Yes

The average number of strings required by the compositions in the program for Performance C is smaller than the average number of strings required by the compositions in the program of either of the other two performances.

Explanation

Sort by “Performance.” You don’t need to calculate the averages: rather, eyeball the table and save some time. One of the compositions in each program requires 21 strings, so these compositions cancel one another out. The other two compositions for each performance require 51 and 45 strings (Performance A), 51 and 62 strings (Performance B), and 54 and 31 (Performance C). It is clear that the 31 strings required by Performance C’s Serenade for Strings bring the average number of strings for Performance C down considerably, compared to those averages for the other two performances.

Answer: Yes

If a composition requires 8 woodwinds, the probability that it was not composed by Sanford, M. is 33%.

Explanation

Three compositions require 8 woodwinds, and two of them were not composed by Sanford, M.; one was composed by Sanford, L. and the other by Baranko. Thus, if a composition requires 8 woodwinds, the probability that it was not composed by Sanford, M. is 67%, not 33%.

Answer: No