Question

A bag of 33 tulip bulbs contains 14 red tulip​ bulbs, 9 yellow tulip​ bulbs, and 10 purple tulip bulbs. ​(a) What is the probability that two randomly selected tulip bulbs are both​ red? ​(b) What is the probability that the first bulb selected is red and the second​ yellow? ​(c) What is the probability that the first bulb selected is yellow and the second​ red? ​(d) What is the probability that one bulb is red and the other​ yellow?

Answer 1

a) probability that two randomly selected tulip bulbs are both red

P[both red] = [14/33][13/32]

= 91/528 or 17.23 %

b) probability that the first bulb selected is red and the second​ yellow

P[1st red, 2nd yellow] = [14/33][9/32]

= 0.1193 or 11.93%

c)  probability that the first bulb selected is yellow and the second​ red

P[1st yellow, 2nd red] = [9/33][14/32]

= 0.1193 or 11.93%

d) probability that one bulb is red and the other​ yellow

P[one red, one yellow] = P[1st red, 2nd yellow] + P[1st yellow, 2nd red]

= ans of qb + ans of qc

=0.1193 + 0.1193

= 0.2386