Question

A gardener plants a mix of seeds for three types of flowers, A, B, and C. In the mix 50% of the seeds are type A, 30% are type B, and the remaining 20% are type C. We know that 80% of the type A seeds will germinate, only 20% of the type B seeds will germinate, and 60% of the type C seeds will germinate.

The tree below represents the situation described abo

A gardener plants a mix of seeds for three types of flowers, A, B, and C. In the mix 50% of the seeds are type A, 30% are type B, and the remaining 20% are type C. We know that 80% of the type A seeds will germinate, only 20% of the type B seeds will germinate, and 60% of the type C seeds will germinate.

The tree below represents the situation described above. Complete the tree and then answer the question below.

What is the probability that a randomly selected seed will germinate?

What is the probability that a randomly selected seed will germinate?

Answer 1

The diagram is not udpated in the question.

The tree diagram based on the question is shown :

P(seed will germinate) = P(A will germinate) + P(B will germinate) + P(C will germinate)

P(seed will germinate) = 0.80 * 0.50 + 0.30 * 0.20 + 0.20 * 0.60 = 0.40 + 0.06 + 0.12

P(seed will germinate) = 0.58

ANS: Probability that a randomly selected seed will germinate = 0.58