Question

A batch of tiles, shown below, is placed into a bag. Ariana randomly draws one tile from the bag, records it, puts it back in the bag, and draws another tile. What is the probability that Ariana will draw a purple tile first and a red tile second?
10 green tiles, 5 purple tiles, 18 yellow tiles, 12 red tiles, 6 blue tiles, 4 brown tiles, and 5 white tiles.
a.
17/60
b.
1/30
c.
1/5
d.
1/60

Answer 1

Total tiles = 10+5+18+12+6+4+5 = 60.
P(purple first) = 5/60 = 1/12. With replacement, P(red second) = 12/60 = 1/5.
Combined probability = (1/12)*(1/5) = 1/60.
Answer: (d) 1/60.