Question

Barry put all of the tiles shown below into a bag, then randomly pulled out one round one and one square one. What is the probability that Barry drew two red tiles?
Round tile: 21 blue, 5 green, 7 yellow, 3 red.Square tiles: 12 blue, 14 yellow, 9 red, 6 purple, 3 brown, 4 white, 12 green.
a.
9/1,024
b.
1/15
c.
1/80
d.
3/80

Answer 1

Round: total = 21+5+7+3 = 36, red = 3 → P(round red) = 3/36 = 1/12.
Square: total = 12+14+9+6+3+4+12 = 60, red = 9 → P(square red) = 9/60 = 3/20.
Independent events, so P(both red) = (1/12)*(3/20) = 1/80.

Answer: c.