7. There are 50 yellow dolls in a basket and 30 green dolls in a box. Three dolls are picked at a random without replacement find the probability of picking:

a) Two yellow dolls and 1one green doll
b) two green dolls and one yellow doll [6 marks]

1 answer

a) Probability of picking two yellow dolls and one green doll:

Total number of dolls = 50 yellow dolls + 30 green dolls = 80 dolls

Picking two yellow dolls:
Probability = (50/80) * (49/79) = 0.3803

Picking one green doll:
Probability = (30/78) = 0.3846

Therefore, the probability of picking two yellow dolls and one green doll = 0.3803 * 0.3846 = 0.1462

b) Probability of picking two green dolls and one yellow doll:

Total number of dolls = 80 dolls

Picking two green dolls:
Probability = (30/80) * (29/79) = 0.1373

Picking one yellow doll:
Probability = (50/78) = 0.641

Therefore, the probability of picking two green dolls and one yellow doll = 0.1373 * 0.641 = 0.0880

Therefore:
a) The probability of picking two yellow dolls and one green doll = 0.1462
b) The probability of picking two green dolls and one yellow doll = 0.0880