Answer: 0.3
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Step-by-step explanation:
Highlight the path that starts with A and then leads to D
Multiply the values highlighted to get 0.5*0.6 = 0.3
Effectively we've computed the following
P(A and D) = P(A)*P(D given A)
P(A and D) = 0.5*0.6
P(A and D) = 0.3
The notation "D given A" indicates we know event A has happened. We cannot simply say P(D) because there is another event D that happens on the lower branch B; so instead we say P(D given A). You can replace the word "given" with a vertical bar to write P(D | A), though in my opinion the vertical bar could be easily mistaken for the uppercase letter i, a lowercase letter L, or the numeric digit "one". I find its easier to describe what is going on rather than use the vertical bar notation.