For the given tree diagram of the experiment consisting of two trials, P(D) = 0.74
A method that can be infinitely repeated and has a clearly defined range of potential outcomes, or sample space, is referred to as an experiment or trial in probability theory. If there are multiple possible outcomes from an experiment, it is considered to be random; if there is just one, it is said to be deterministic.
Calculation of P(D) for the given experiment:
From the first branch of the tree, P(D) = 0.7 × 0.6
P(D) = 0.42
From the second branch of the tree, P(D) = 0.8 × 0.4
P(D) = 0.32
Hence, the probability of getting D in the experiment is,
P(D) = P(D) from first branch of the tree + P(D) from the second branch of the tree
P(D) = 0.42 + 0.32
P(D) = 0.74
Learn more about an experiment here:
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