Answer: 0.56
Explanation:
Given: Probability that Avacia tree grow small = 0.2
⇒Probability that Avacia tree grow large = 1-0.2=0.8 [Total probability =1]
Probability that Birch tree grow small = 0.4
⇒ Probability that Birch tree grow large= 1-0.4 = 0.6
The probability that both trees will grow to the same size = P(Both large)+P(Both small)
= 0.2 x 0.4 + 0.8 x 0.6 [Events are independent]
= 0.08+0.48
=0.56
Hence, the probability that both trees will grow to the same size = 0.56