Question

The tree diagram represents an experiment consisting of two trials. (Enter the probability to the hundredths place. Do not round.)

.6, A, .3, C, .7, D,

.4, B, .2, C, .8, D


P(D) = [ ? ]

please no links

Answer 1

0.74

Explanation:

A tree diagram is a visual way of showing combinations of two or more events. The outcome of each branch is labelled at the end of the branch line and its probability is written alongside the branch.

To calculate the probabilities of each combination, follow the branches and multiply the probabilities together.

There are two possible combinations to get a final outcome of D:

• A and D = 0.6 × 0.7 = 0.42

• B and D = 0.4 × 0.8 = 0.32

Therefore, the probability of D is:

⇒ P(D) = P(A and D) OR P(B and D):

⇒ P(D) = 0.42 + 0.32

⇒ P(D) = 0.74