Question

I need helllpp pls :

Answer 1

P(C) : 0.35
This is the answer I know this because I took the test

Answer 2

P(C) = 0.35

Explanation:

The tree diagram shows the probabilities of outcomes C and D along the different paths by which they may be achieved. You want the probability that C is a final outcome.

Probabilities

The probability of any given outcome at the right side of the diagram is the product of the probabilities along the paths leading to that outcome. The paths through the diagram are intentionally mutually exclusive, so the probability of any given outcome is the sum of the probabilities of the different ways it can be obtained.

The top C outcome has probability 0.5×0.4 = 0.2.

The bottom C outcome has probability 0.5×0.3 = 0.15.

Then the probability that C is an outcome from the two trials is ...

P(C) = 0.2 +0.15

P(C) = 0.35