A late shopper for Valentine’s flowers calls by phone to have a flower wrapped. The store has only 5 roses, of which 3 will open by the next day, and 6 tulips, of which 2 will open by the next day.

(a) Construct a Venn diagram and show the events A  [Rose], and B  [Will open next day].

(b) If the store selects one flower at random, find the probability that it will not open by the next day.