A florist in Pune makes a bunch of 45 flowers using roses, lilies and exactly 10 orchids. The bunch has 5 more lilies than roses. One flower is drawn out of the bunch at random. What is the probability that it is a rose?

Question

Accepted Answer

1/3. Let the roses be r. Then lilies = r + 5 and r + (r + 5) + 10 = 45, so 2r = 30 and r = 15. P(rose) = 15/45 = 1/3. 4/9 answers for the 20 lilies; 2/9 answers for the 10 orchids; 1/2 comes from splitting the 35 non-orchid flowers evenly and ignoring the difference of 5.

A florist in Pune makes a bunch of 45 flowers using roses, lilies and exactly 10 orchids. The bunch has 5 more lilies than roses. One flower is drawn out of the bunch at random. What is the probability that it is a rose?

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