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The value of the probability P(A and D) is 0.30
Using the probabilities on the tree diagram, we have the following parameters
P(A) = 0.5
P(D/A) = 0.6
The probability P(A and D) is then calculated using the following formula
P(A and D) = P(A) * P(D/A)
Substitute the known values in the above equation
P(A and D) = 0.5 * 0.6
Evaluate the product
P(A and D) = 0.30
Hence, the value of the probability P(A and D) is 0.30
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